<link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=3693599334976406601&zx=399a640e-0c19-4edc-9cef-df80e9f004a6' media='none' onload='if(media!='all')media='all'' rel='stylesheet'/><noscript><link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=3693599334976406601&zx=399a640e-0c19-4edc-9cef-df80e9f004a6' rel='stylesheet'/></noscript>
<meta name='google-adsense-platform-account' content='ca-host-pub-1556223355139109'/>
<meta name='google-adsense-platform-domain' content='blogspot.com'/>

<script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js?client=ca-pub-8863358623919519&host=ca-host-pub-1556223355139109" crossorigin="anonymous"></script>

<!-- data-ad-client=ca-pub-8863358623919519 -->

<link rel="stylesheet" href="https://fonts.googleapis.com/css2?display=swap&family=DM+Sans&family=Merriweather+Sans&family=Quattrocento+Sans&family=Source+Sans+Pro&family=Tenor+Sans&family=Kumbh+Sans&family=Sarabun"></head><body>

Tentukan turunan pertama fungsi trigonometri berikut! f(x) = 2x tan x + cosec x

Rani Maharani

Soal

Tentukan turunan pertama fungsi trigonometri berikut!

f(x) = 2x tan x + cosec x

Pembahasan

f (x) f^{'} (x) = 2 x tan x + csc x = \frac{d}{d x} [2 x tan x] + \frac{d}{d x} [csc x] = 2 tan x + 2 x sec^{2} x - csc x cot x = 2 tan x + 2 x sec^{2} x - \frac{1}{sin x} \cdot \frac{cos x}{sin x} = 2 tan x + 2 x sec^{2} x - \frac{cos x}{sin ^{2} x} = 2 tan x + 2 x sec^{2} x - csc x cot x

Add Comment

<script type="text/javascript" src="https://www.blogger.com/static/v1/widgets/984859869-widgets.js"></script>
<script type='text/javascript'>
window['__wavt'] = 'AOuZoY6GHY8OyNcSSMk-dKZT54NrDQ-SCg:1732765896972';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d3693599334976406601','//langsit.blogspot.com/2023/04/tentukan-turunan-pertama-fungsi_70.html','3693599334976406601');
_WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '3693599334976406601', 'title': 'langsut.com', 'url': 'https://langsit.blogspot.com/2023/04/tentukan-turunan-pertama-fungsi_70.html', 'canonicalUrl': 'https://langsit.blogspot.com/2023/04/tentukan-turunan-pertama-fungsi_70.html', 'homepageUrl': 'https://langsit.blogspot.com/', 'searchUrl': 'https://langsit.blogspot.com/search', 'canonicalHomepageUrl': 'https://langsit.blogspot.com/', 'blogspotFaviconUrl': 'https://langsit.blogspot.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': false, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': 'UA-58455320-9', '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\x22langsut.com - Atom\x22 href\x3d\x22https://langsit.blogspot.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22langsut.com - RSS\x22 href\x3d\x22https://langsit.blogspot.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22langsut.com - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/3693599334976406601/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22langsut.com - Atom\x22 href\x3d\x22https://langsit.blogspot.com/feeds/3674185963681986997/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseClientId': 'ca-pub-8863358623919519', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': true, 'adsenseAutoAds': true, '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': '3674185963681986997', 'pageName': 'Tentukan turunan pertama fungsi trigonometri berikut!  f(x) \x3d 2x tan x + cosec x', 'pageTitle': 'langsut.com: Tentukan turunan pertama fungsi trigonometri berikut!  f(x) \x3d 2x tan x + cosec x', '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': 'Tentukan turunan pertama fungsi trigonometri berikut!  f(x) \x3d 2x tan x + cosec x', 'description': 'Kumpulan puisi, pantun, dan kata mutiara bijak.', 'url': 'https://langsit.blogspot.com/2023/04/tentukan-turunan-pertama-fungsi_70.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 3674185963681986997}}, {'name': 'widgets', 'data': [{'title': 'Upload Image', 'type': 'Image', 'sectionId': 'upload-image', 'id': 'Image50'}, {'title': 'Logo', 'type': 'HTML', 'sectionId': 'header-main', 'id': 'HTML50'}, {'title': 'Icons, Dark, Search', 'type': 'LinkList', 'sectionId': 'header-main', 'id': 'LinkList52'}, {'title': 'Menu', 'type': 'PageList', 'sectionId': 'header-main', 'id': 'PageList50'}, {'title': 'Blog Posts', 'type': 'Blog', 'sectionId': 'blog-post', 'id': 'Blog50', 'posts': [{'id': '3674185963681986997', 'title': 'Tentukan turunan pertama fungsi trigonometri berikut!  f(x) \x3d 2x tan x + cosec x', 'showInlineAds': false}], 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'author', 'label': 'Posted by'}, {'name': 'comments', 'label': 'Comment'}, {'name': 'share', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': 'Labels:'}]}], 'allBylineItems': [{'name': 'author', 'label': 'Posted by'}, {'name': 'comments', 'label': 'Comment'}, {'name': 'share', 'label': ''}, {'name': 'labels', 'label': 'Labels:'}]}, {'title': 'Popular Posts', 'type': 'PopularPosts', 'sectionId': 'sidebar-static', 'id': 'PopularPosts50', 'posts': [{'title': 'Coba Anda susun sebuah rencana pembelajaran seni terpadu dengan tema', 'id': 6946319312170386360}, {'title': '100 Contoh Pantun Cinta Kasih Sayang Orang Tua dan Muda Mudi', 'id': 1280393073645452795}, {'title': 'Sebutkan dan jelaskan unsur unsur dari kubus', 'id': 1308056989653022561}, {'title': 'Sebutkan kegunaan alkana dalam kehidupan sehari-hari!', 'id': 198172762413115704}, {'title': '80  Pantun Hujan : Lucu, Gerimis, Masih Air, Romantis, Deras, Cinta, Di Pagi Hari', 'id': 3500153516816155996}]}, {'title': '#Recent Post', 'type': 'HTML', 'sectionId': 'sidebar-static', 'id': 'HTML2'}, {'title': 'Copyright', 'type': 'HTML', 'sectionId': 'copyright', 'id': 'HTML56'}, {'title': 'SVG Icons', 'type': 'HTML', 'sectionId': 'jet-options', 'id': 'HTML57'}]}]);
_WidgetManager._RegisterWidget('_ImageView', new _WidgetInfo('Image50', 'upload-image', document.getElementById('Image50'), {'resize': true}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML50', 'header-main', document.getElementById('HTML50'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList52', 'header-main', document.getElementById('LinkList52'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList50', 'header-main', document.getElementById('PageList50'), {'title': 'Menu', 'links': [{'isCurrentPage': false, 'href': '/', 'title': 'Home'}, {'isCurrentPage': false, 'href': '/p/about.html', 'title': 'About'}, {'isCurrentPage': false, 'href': '/p/contact.html', 'title': 'Contact'}, {'isCurrentPage': false, 'href': 'https://langsit.blogspot.com/p/sitemaps.html', 'id': '7343816892225610374', 'title': 'Sitemap'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog50', 'blog-post', document.getElementById('Blog50'), {'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('_PopularPostsView', new _WidgetInfo('PopularPosts50', 'sidebar-static', document.getElementById('PopularPosts50'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML2', 'sidebar-static', document.getElementById('HTML2'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML56', 'copyright', document.getElementById('HTML56'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML57', 'jet-options', document.getElementById('HTML57'), {}, 'displayModeFull'));
</script>
</body>