{"id":9799,"date":"2022-01-27T16:38:48","date_gmt":"2022-01-27T11:08:48","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9799"},"modified":"2022-01-27T16:38:50","modified_gmt":"2022-01-27T11:08:50","slug":"implicit-and-explicit-function-definition-and-example","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/implicit-and-explicit-function-definition-and-example\/","title":{"rendered":"Implicit and Explicit Function – Definition and Example"},"content":{"rendered":"

Here you will learn what is implicit and explicit function with definition and examples.<\/p>\n

Let’s begin –<\/p>\n

Implicit and Explicit Function<\/h2>\n

Definition<\/strong> : A function defined by an equation not solved for the dependent variable is called implicit function<\/strong>. e.g. the equations \\(x^3 + y^3\\) = 1 and \\(x^y\\) = \\(y^x\\), defines y as an implicit function. If y has been expressed in terms of x alone then it is called an Explicit function<\/strong>.<\/p>\n

Also Read<\/strong> : Types of Functions in Maths \u2013 Domain and Range<\/a><\/p>\n

Example<\/strong><\/span> : Which of the following function is implicit function ?<\/p>\n

(A ) y = \\(x^2 + e^x + 5\\over \\sqrt{1 – cos^{-1}x}\\)<\/p>\n

(B) y = \\(x^2\\)<\/p>\n

(C) xy – sin(x + y) = 0<\/p>\n

(D) y = \\(x^2 log x\\over sin x\\)<\/p>\n

Solution<\/strong><\/span> : xy – sin(x + y) = 0 is implicit function because it is not clearly expressed in terms of x.<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is implicit and explicit function with definition and examples. Let’s begin – Implicit and Explicit Function Definition : A function defined by an equation not solved for the dependent variable is called implicit function. e.g. the equations \\(x^3 + y^3\\) = 1 and \\(x^y\\) = \\(y^x\\), defines y as an …<\/p>\n

Implicit and Explicit Function – Definition and Example<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","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":[26],"tags":[357,830],"yoast_head":"\nImplicit and Explicit Function - Definition and Example<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is implicit and explicit function with definition and examples based on it.\" \/>\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\/implicit-and-explicit-function-definition-and-example\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Implicit and Explicit Function - 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