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\nEvaluate the derivative of the inverse function\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn how to find the derivative of the inverse of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...\n👉 Learn how to find the derivative of the inverse of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. Let f(x) be a function and g(x) be the inverse of f(x), then the derivative of f(x) is given by the reciprocal of the derivative of f as a function of g(x). Mathematically, we have if y = f(x) and g(x) = f^(-1)(x), then g'(x)=1/f'(g(x)). Whether we are given an equation or we are given the values of the functions, plugging the values into the above equation gives the desired inverse.\n
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Resource Details

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Curator Rating
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Educator Rating
Not yet Rated
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Media Length
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3:07
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2017
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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inverse, inverses, inverse functions
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Best For: Explaining a topic
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Evaluate the derivative of the inverse function\" href=\"/subscription/new\">\"Evaluate\n\n
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