Derivative of Inverse Function Formula
For any function f(x) its inverse is defined as f-1(x) and the derivative of the inverse function is found using the formula,
d/dx[f-1(x)] = 1/f'{f-1(x)}
Derivative of a Function
Derivative of a Function is the rate of change in the given function with respect to an independent variable. The derivative of a given function in Calculus is found using the First Principle of differentiation. The process of finding the derivative of a function is also called the Differentiation of function.
Derivative of a Function gives the slope of the particular function at the point of differentiation and is used to get the extreme value of the function. It is also defined as the rate of change of the function with respect to any point lying in the domain of the function. A function f(x) is differentiable at a point x = a if it is continuous at that point.
Table of Content
- What is Derivative of A Function
- First Principle of Differentiation
- Geometrical Interpretation of Derivative of a Function
- How to Find Derivative of Function?
- Derivative of a Standard Functions
- Derivative of Constant Function
- Derivative of Exponential Function
- Derivative of Trigonometric Functions
- Derivative of Absolute Function
- Derivative of Logarithmic Function
- Derivative of Inverse Function Formula
- Derivative of Implicit Function
- Derivative of Composite Function
- Algebra of Derivatives
- Derivative Formulas
- Examples on Derivative Rules
In this article, we will learn about the Derivative of a function, the First Principle of Differentiation, the Differentiation of Trig Function, the Differentiation of Exponential Function, and others in detail.