What is Implicit Differentiation?
Implicit differentiation is a method that makes use of the chain rule to differentiate implicitly defined functions. An implicit functions is the function which contains two variable rather than one variable. In such case sometimes we can convert the function into one variable explicitly but this not the case always. Since, it is generally not easy to find the function explicitly and then differentiate. Instead, we can totally differentiate f(x, y) i.e. both the variables and then solve the rest of the equation to find the value of f'(x).
Read in Detail: Calculus in Maths
Derivative of Inverse Trig Functions
Derivative of Inverse Trig Function refers to the rate of change in Inverse Trigonometric Functions. We know that the derivative of a function is the rate of change in a function with respect to the independent variable. Before learning this, one should know the formulas of differentiation of Trigonometric Functions. To find the derivative of the Inverse Trigonometric Function, we will first equate the trigonometric function with another variable to find its inverse and then differentiate it using the implicit differentiation formula.
In this article, we will learn the Derivative of Inverse Trig Functions, Formulas of Differentiation of Inverse Trig Functions, and Solve some Examples based on it. But before heading forward, let’s brush up on the concept of inverse trigonometric functions and implicit differentiation.
Table of Content
- Inverse Trigonometric Functions
- What is Implicit Differentiation?
- What is Derivative of Inverse Trigonometric Functions?
- Proof of Derivative of Inverse Trig Functions
- Inverse Trig Derivative Formula
- Inverse Trig Derivative Examples
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