Calculate the derivative of an inverse function. Recognize the derivatives of the standard inverse trigonometric functions. In this section we explore the relationship between the derivative of a …

In calculus, the inverse function rule is a formula that expresses the derivative of the inverse of a bijective and differentiable function f in terms of the derivative of f.

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This page breaks down the derivatives of inverse trigonometric functions such as arcsin, arccos, arctan, arccot, arccsc, and arcsec. You’ll find a formula reference sheet, and many practice problems with …

Jul 23, 2025 · The derivative of an inverse function provides a way to find the rate of change of an inverse function at a point. If you have a function y = f (x) and its inverse x=f−1(y), the derivatives of …

Feb 8, 2025 · Learn the differentiation rule for inverse functions. Understand how to apply the inverse function theorem in calculus.

Feb 23, 2021 · Together we will learn the explicit formula for finding the derivative of an inverse function and not be fooled or tricked by the question by walking through several examples.

Explore the intriguing connection between inverse functions and their derivatives. We delve into the unique relationship that exists when f (g (x))=x=g (f (x)), using the functions 𝑒ˣ and ln (x) as examples.

The logarithm function loga x is the inverse of the exponential function ax. Therefore, we can use the formula from the previous section to obtain its deriva-tive.

Tutorial, with examples and detailed solutions, on finding the derivative of an inverse function.