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  1. 17 lis 2020 · To find the derivative of \(y = \text{arcsec}\, x\), we will first rewrite this equation in terms of its inverse form. That is, \[ \sec y = x \label{inverseEqSec}\] As before, let \(y\) be considered an acute angle in a right triangle with a secant ratio of \(\dfrac{x}{1}\).

  2. The derivative of the inverse secant function is equal to 1/(|x|(x 2-1)). We can prove this derivative using the Pythagorean theorem and algebra. In this article, we will learn how to derive the inverse secant function.

  3. 17 sie 2024 · Learning Objectives. 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 function and the derivative of its inverse.

  4. In this section we explore the relationship between the derivative of a function and the derivative of its inverse. For functions whose derivatives we already know, we can use this relationship to find derivatives of inverses without having to use the limit definition of the derivative.

  5. Calculate the derivative of an inverse function. Recognize the derivatives of the standard inverse trigonometric functions.

  6. In this tutorial we shall explore the derivative of inverse trigonometric functions and we shall prove the derivative of secant inverse.

  7. 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 function and the derivative of its inverse.

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