Evaluate the derivative of the inverse function

👉 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.

Organized Videos:
✅The Derivative
✅Find the First and Second Derivatives of a Function
✅Find the Differentiability of a Function
✅Find the Derivative of Absolute Value Function
✅Find the Derivative of Exponential and Logarithmic Functions
✅Find the Derivative using Implicit Differentiation
✅Find the Derivative of Inverse Functions
✅Find the Point Where the Tagent Line is Horizontal
✅Write the Equation of the Tangent Line
✅Find the Derivative from a Table
✅Chain Rule Differentiation
✅Product Rule Derivatives
✅Find the Derivative of Trigonometric Functions
✅Find the Derivative using the Power Rule
✅Quotient Rule Derivatives
✅Solve Related Rates Problems

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