Differentiating Inverse Functions

Definition

Differentiating inverse functions involves finding the derivative of a function and its inverse. The key idea is that if two functions are inverses of each other, their derivatives are reciprocals of each other.

Related terms

Inverse Trigonometric Functions:

Inverse trigonometric functions are used to find angles given specific trigonometric ratios. They have corresponding derivatives that can be found using techniques like chain rule.

Logarithmic Differentiation: Logarithmic differentiation is a technique used when differentiating complicated functions involving logarithms. It uses properties of logarithms and differentiation rules to simplify calculations.

Implicit Function Theorem:

The implicit function theorem provides conditions under which an equation defines a differentiable function implicitly. It helps in determining whether an equation has an implicit solution or not.