{"id":7869,"date":"2021-11-09T19:03:26","date_gmt":"2021-11-09T13:33:26","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7869"},"modified":"2021-11-09T19:29:22","modified_gmt":"2021-11-09T13:59:22","slug":"what-is-the-differentiation-of-1-log-x","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-differentiation-of-1-log-x\/","title":{"rendered":"What is the differentiation of 1\/log x ?"},"content":{"rendered":"

Solution :<\/h2>\n

We have, y = \\(1\\over log x\\)<\/p>\n

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

\\(dy\\over dx\\) = \\(log x.{d\\over dx}(1) – 1 {d\\over dx}(log x)\\over (log x)^2\\)<\/p>\n

\\(dy\\over dx\\) = \\(0 – {1\\over x}\\over (log x)^2\\) = \\(-1\\over x (log x)^2\\)<\/p>\n

Hence, the differentiation of 1\/log x with respect to x is \\(-1\\over x (log x)^2\\).<\/p>\n

\n

Similar Questions<\/h3>\n

What is the differentiation of log sin x ?<\/a><\/p>\n

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

What is the Differentiation of x log x ?<\/a><\/p>\n

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

Solution : We have, y = \\(1\\over log x\\) By using quotient rule in differentiation, \\(dy\\over dx\\) = \\(log x.{d\\over dx}(1) – 1 {d\\over dx}(log x)\\over (log x)^2\\) \\(dy\\over dx\\) = \\(0 – {1\\over x}\\over (log x)^2\\) = \\(-1\\over x (log x)^2\\) Hence, the differentiation of 1\/log x with respect to x is \\(-1\\over x …<\/p>\n

What is the differentiation of 1\/log x ?<\/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 1\/log x ? - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the differentiation of 1\/log x with respect to x by using quotient rule in differentiation.\" \/>\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-1-log-x\/\" \/>\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 1\/log x ? 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