Finding the derivative of an inverse function

The derivative of an inverse function at a point, is equal to the reciprocal of the derivative of the original function — at its correlate. Or in Leibniz’s notation: $$ \frac{dx}{dy} = \frac{1}{\frac{dy}{dx}}$$ which, although not useful in terms of

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Inverse function rule

!Use the inverse function theorem to find the derivative of g(x) = sin − 1x. Solution Since for x in the interval [ − π 2, π 2], f(x) = sinx is the inverse of g(x) = sin − 1x, begin by

2.4 Inverse Functions

This calculus video tutorial explains how to find the derivative of an inverse function. It contains plenty of examples and practice problems for you to mas

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Inverse Functions

The Derivative of an Inverse Function When we can solve for the inverse function and write it in the form we can simply compute its derivative as we would for any function. But in many

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3.7 Derivatives of Inverse Functions

This calculus video tutorial provides a basic introduction into the derivatives of inverse functions. It explains how to evaluate the derivative of an inver

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