{"id":7961,"date":"2021-11-11T17:22:17","date_gmt":"2021-11-11T11:52:17","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7961"},"modified":"2021-11-11T18:06:02","modified_gmt":"2021-11-11T12:36:02","slug":"what-is-the-differentiation-of-cosx-sinx","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-differentiation-of-cosx-sinx\/","title":{"rendered":"What is the differentiation of cosx sinx ?"},"content":{"rendered":"

Solution :<\/h2>\n

Let y = cosx.sinx<\/p>\n

By using product rule<\/a> in differentiation,<\/p>\n

\\(dy\\over dx\\) = sinx(-sinx) + cosx.cosx<\/p>\n

\\(dy\\over dx\\) = \\(cos^2x – sin^2x\\) = cos 2x<\/p>\n

Hence, the differentiation of cosx.sinx with respect to x is cos 2x.<\/p>\n

\n

Questions for Practice<\/h3>\n

What is the differentiation of \\(e^{sinx}\\) ?<\/a><\/p>\n

What is the differentiation of sin square x or \\(sin^2x\\) ?<\/a><\/p>\n

What is the differentiation of 1\/sinx ?<\/a><\/p>\n

What is the differentiation of \\(sin x^2\\) ?<\/a><\/p>\n

What is the differentiation of log sin x ?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Let y = cosx.sinx By using product rule in differentiation, \\(dy\\over dx\\) = sinx(-sinx) + cosx.cosx \\(dy\\over dx\\) = \\(cos^2x – sin^2x\\) = cos 2x Hence, the differentiation of cosx.sinx with respect to x is cos 2x. Questions for Practice What is the differentiation of \\(e^{sinx}\\) ? What is the differentiation of sin …<\/p>\n

What is the differentiation of cosx sinx ?<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[65,43],"tags":[],"yoast_head":"\nWhat is the differentiation of cosx sinx ? - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the differentiation of cosx sinx with respect to x by using product rule.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/what-is-the-differentiation-of-cosx-sinx\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the differentiation of cosx sinx ? 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