Differentiation of Trigonometric Functions (مشتقات الدوال المثلثية)

Differentiation of Trigonometric Functions (مشتقات الدوال المثلثية)

إن إشتقاق الدوال المثلثية هو العملية الرياضية لإيجاد مشتقة دالة مثلثية أو معدل تغييرها بالنسبة إلى المتغير. على سبيل المثال، مشتقة دالة الجيب هي دالة الكوساين : sin′(A) = cos(A) مما يعني أن معدل تغير sin(x) في زاوية معينة x = a معطى بواسطة جيب تمام تلك الزاوية.

يمكن العثور على جميع مشتقات الدوال المثلثية الدائرية من خلال دالتي الـِ sin(x) و cos(x) بواسطة قاعدة ناتج القسمة المطبقة على الدوال مثل

tan(x) = sin(x)/cos(x)

من معرفة هذه المشتقات، نستطيع إيجاد مشتقات الدوال المثلثية العكسية باستخدام التمايز الضمني.

مشتقات النسب المثلثية والمثلثية الزائدية

مشتقات النسب المثلثية والمثلثية الزائدية

مشتقات النسب المثلثية العكسية والمثلثية الزائدية العكسية

مشتقات النسب المثلثية العكسية والمثلثية الزائدية العكسية

Latest articles from : Calculus

Comments

No comments

Post a Comment

Reading Mode :

Font Size

+

16

-

lines height

+

2

-

window['__wavt'] = 'AOuZoY4zJCFIqeFN-JquSUlLI1l_ImhGOQ:1732689438252';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d4303362447556768208','//www.anamsmind.com/2020/03/differentiation-of-trigonometric.html','4303362447556768208'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '4303362447556768208', 'title': 'Anam\x27s Mind', 'url': 'https://www.anamsmind.com/2020/03/differentiation-of-trigonometric.html', 'canonicalUrl': 'https://www.anamsmind.com/2020/03/differentiation-of-trigonometric.html', 'homepageUrl': 'https://www.anamsmind.com/', 'searchUrl': 'https://www.anamsmind.com/search', 'canonicalHomepageUrl': 'https://www.anamsmind.com/', 'blogspotFaviconUrl': 'https://www.anamsmind.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': '', 'encoding': 'UTF-8', 'locale': 'en', 'localeUnderscoreDelimited': 'en', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Anam\x26#39;s Mind - Atom\x22 href\x3d\x22https://www.anamsmind.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22Anam\x26#39;s Mind - RSS\x22 href\x3d\x22https://www.anamsmind.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Anam\x26#39;s Mind - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/4303362447556768208/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Anam\x26#39;s Mind - Atom\x22 href\x3d\x22https://www.anamsmind.com/feeds/6961485618900295206/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseClientId': 'ca-pub-8269708509170443', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/2fafd358a4bcb2b4', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Get link', 'key': 'link', 'shareMessage': 'Get link', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Share to Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': 'Share to X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Share to Pinterest', 'target': 'pinterest'}, {'name': 'Email', 'key': 'email', 'shareMessage': 'Email', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27en\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': false, 'jumpLinkMessage': 'Read more', 'pageType': 'item', 'postId': '6961485618900295206', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFljWhUWOXFLCXg99tuL8HdUbkaORanp_9rYL_JfV196rwcl0QMgU_vUiE6SyqdJ-rhdRQ3uC_5bJ2iM2nAZUzG2rlB-VLk2KcnVc2LvuyRCj80FArdSPo3ayAOL-oLV7vLQei2YXONvU/s72-c-e360/1.PNG', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFljWhUWOXFLCXg99tuL8HdUbkaORanp_9rYL_JfV196rwcl0QMgU_vUiE6SyqdJ-rhdRQ3uC_5bJ2iM2nAZUzG2rlB-VLk2KcnVc2LvuyRCj80FArdSPo3ayAOL-oLV7vLQei2YXONvU/s0-e360/1.PNG', 'pageName': 'Differentiation of Trigonometric Functions (\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629)', 'pageTitle': 'Anam\x27s Mind: Differentiation of Trigonometric Functions (\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629)', 'metaDescription': ''}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Edit', 'linkCopiedToClipboard': 'Link copied to clipboard!', 'ok': 'Ok', 'postLink': 'Post Link'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Custom', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'Differentiation of Trigonometric Functions (\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629)', 'description': '', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFljWhUWOXFLCXg99tuL8HdUbkaORanp_9rYL_JfV196rwcl0QMgU_vUiE6SyqdJ-rhdRQ3uC_5bJ2iM2nAZUzG2rlB-VLk2KcnVc2LvuyRCj80FArdSPo3ayAOL-oLV7vLQei2YXONvU/s0-e360/1.PNG', 'url': 'https://www.anamsmind.com/2020/03/differentiation-of-trigonometric.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 6961485618900295206}}, {'name': 'widgets', 'data': [{'title': 'Lazy Adsense', 'type': 'HTML', 'sectionId': 'lazy', 'id': 'HTML321'}, {'title': 'BlogArchive', 'type': 'BlogArchive', 'sectionId': 'sitting', 'id': 'BlogArchive400'}, {'title': 'BlogLabels', 'type': 'Label', 'sectionId': 'sitting', 'id': 'Label400'}, {'title': 'pages', 'type': 'PageList', 'sectionId': 'pages', 'id': 'PageList1'}, {'title': '\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0625\u062c\u062a\u0645\u0627\u0639\u064a', 'type': 'LinkList', 'sectionId': 'topsocialL', 'id': 'LinkList3'}, {'title': 'Anam\x27s Mind (Header)', 'type': 'Header', 'sectionId': 'logo', 'id': 'Header1'}, {'title': '\u0627\u0644\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629', 'type': 'LinkList', 'sectionId': 'menu', 'id': 'LinkList22'}, {'title': 'Advertisement', 'type': 'HTML', 'sectionId': 'Topa3lan-sc', 'id': 'HTML100'}, {'title': '\u0627\u0639\u0644\u0627\u0646 \u0627\u0633\u0641\u0644 \u0627\u0644\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0639\u0644\u0648\u064a\u0629 \u0644\u0644\u0647\u0627\u062a\u0641', 'type': 'HTML', 'sectionId': 'Topa3lan-sc2', 'id': 'HTML101'}, {'title': 'Blog Posts', 'type': 'Blog', 'sectionId': 'Tempnec', 'id': 'Blog1', 'posts': [{'id': '6961485618900295206', 'title': 'Differentiation of Trigonometric Functions (\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629)', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFljWhUWOXFLCXg99tuL8HdUbkaORanp_9rYL_JfV196rwcl0QMgU_vUiE6SyqdJ-rhdRQ3uC_5bJ2iM2nAZUzG2rlB-VLk2KcnVc2LvuyRCj80FArdSPo3ayAOL-oLV7vLQei2YXONvU/s0-e360/1.PNG', 'showInlineAds': false}], 'headerByline': {'regionName': 'header1', 'items': [{'name': 'share', 'label': ''}, {'name': 'timestamp', 'label': ''}]}, 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'comments', 'label': 'comments'}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}, {'regionName': 'footer3', 'items': [{'name': 'location', 'label': 'Location:'}]}], 'allBylineItems': [{'name': 'share', 'label': ''}, {'name': 'timestamp', 'label': ''}, {'name': 'comments', 'label': 'comments'}, {'name': 'labels', 'label': ''}, {'name': 'location', 'label': 'Location:'}]}, {'title': '\u0623\u0639\u0644\u0627\u0646 \u0627\u0648\u0644 \u0627\u0644\u0645\u0648\u0636\u0648\u0639', 'type': 'HTML', 'sectionId': 'PostA3lan', 'id': 'HTML201'}, {'title': '\u0623\u0639\u0644\u0627\u0646 \u0645\u0646\u062a\u0635\u0641 \u0627\u0644\u0645\u0648\u0636\u0648\u0639', 'type': 'HTML', 'sectionId': 'PostA3lan', 'id': 'HTML202'}, {'title': '\u0623\u0639\u0644\u0627\u0646 \u0623\u062e\u0631 \u0627\u0644\u0645\u0648\u0636\u0648\u0639', 'type': 'HTML', 'sectionId': 'PostA3lan', 'id': 'HTML203'}, {'title': 'table of contents feature', 'type': 'HTML', 'sectionId': 'AddOns', 'id': 'HTML1'}, {'title': 'see also feature', 'type': 'HTML', 'sectionId': 'AddOns', 'id': 'HTML2'}, {'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'type': 'ContactForm', 'sectionId': 'AddOns', 'id': 'ContactForm200'}, {'title': '', 'type': 'HTML', 'sectionId': 'Postcs5', 'id': 'HTML5'}, {'title': 'We Provide Educational Services', 'type': 'Image', 'sectionId': 'sidepar', 'id': 'Image1'}, {'title': 'PDFs Versions Are Here', 'type': 'Image', 'sectionId': 'sidepar', 'id': 'Image3'}, {'title': '', 'type': 'HTML', 'sectionId': 'sidepar', 'id': 'HTML4'}, {'title': '\ud83d\udea9 Connect with me on social', 'type': 'LinkList', 'sectionId': 'sidepar', 'id': 'LinkList4'}, {'title': '', 'type': 'HTML', 'sectionId': 'sidepar', 'id': 'HTML3'}, {'title': '\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0625\u062c\u062a\u0645\u0627\u0639\u064a', 'type': 'LinkList', 'sectionId': 'footer-social', 'id': 'LinkList2'}]}]); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML321', 'lazy', document.getElementById('HTML321'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive400', 'sitting', document.getElementById('BlogArchive400'), {'languageDirection': 'ltr', 'loadingMessage': 'Loading\x26hellip;'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label400', 'sitting', document.getElementById('Label400'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList1', 'pages', document.getElementById('PageList1'), {'title': 'pages', 'links': [{'isCurrentPage': false, 'href': 'http://www.anamsmind.com/', 'title': 'Home'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/blog-page.html', 'id': '3103404535749150283', 'title': 'About Me'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/contact-us_24.html', 'id': '4796981142179413918', 'title': 'Contact Me'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/archive-page.html', 'id': '596976845172965637', 'title': 'Archive Page'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/privacy.html', 'id': '7196705681973988809', 'title': 'Privacy Policy'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/terms-and-conditions-welcome-to-anams.html', 'id': '6612706688403029977', 'title': 'Terms and Conditions'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/online-educational-services-anamsmind.html', 'id': '2157723880655109982', 'title': 'Educational Services | anamsmind'}, {'isCurrentPage': false, 'href': 'https://www.anamsmind.com/p/educational-pdf-resources.html', 'id': '3850131371329090566', 'title': 'Educational Files'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList3', 'topsocialL', document.getElementById('LinkList3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'logo', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList22', 'menu', document.getElementById('LinkList22'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML100', 'Topa3lan-sc', document.getElementById('HTML100'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML101', 'Topa3lan-sc2', document.getElementById('HTML101'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'Tempnec', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/2646514562-lbx.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/1964470060-lightbox_bundle.css'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML201', 'PostA3lan', document.getElementById('HTML201'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML202', 'PostA3lan', document.getElementById('HTML202'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML203', 'PostA3lan', document.getElementById('HTML203'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML1', 'AddOns', document.getElementById('HTML1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML2', 'AddOns', document.getElementById('HTML2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ContactFormView', new _WidgetInfo('ContactForm200', 'AddOns', document.getElementById('ContactForm200'), {'contactFormMessageSendingMsg': 'Sending...', 'contactFormMessageSentMsg': 'Your message has been sent.', 'contactFormMessageNotSentMsg': 'Message could not be sent. Please try again later.', 'contactFormInvalidEmailMsg': 'A valid email address is required.', 'contactFormEmptyMessageMsg': 'Message field cannot be empty.', 'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'blogId': '4303362447556768208', 'contactFormNameMsg': 'Name', 'contactFormEmailMsg': 'Email', 'contactFormMessageMsg': 'Message', 'contactFormSendMsg': 'Send', 'contactFormToken': 'AOuZoY7ep2Z9XkiCM9XQF-RPEmQyEqV6kA:1732689438253', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML5', 'Postcs5', document.getElementById('HTML5'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ImageView', new _WidgetInfo('Image1', 'sidepar', document.getElementById('Image1'), {'resize': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ImageView', new _WidgetInfo('Image3', 'sidepar', document.getElementById('Image3'), {'resize': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML4', 'sidepar', document.getElementById('HTML4'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList4', 'sidepar', document.getElementById('LinkList4'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML3', 'sidepar', document.getElementById('HTML3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList2', 'footer-social', document.getElementById('LinkList2'), {}, 'displayModeFull'));