Practice Questions on Implicit Differentiation

What is Implicit Differentiation?

Implicit Differentiation is the process of differentiation in which we differentiate the implicit function without converting it into an explicit function. For example, we need to find the slope of a circle with an origin at 0 and a radius r. Its equation is given as x2 + y2 = r2....

Prerequisite for Implicit Differentiation

There are some prerequisite concepts that we need to know before learning Implicit Differentiation, these prerequisites are as follows:...

Chain Rule in Implicit Differentiation

The general chain rule that we follow in differentiation is also followed here. We represent the derivative of two functions in product form. This can be understood from the following example:...

Implicit Differentiation Formula

In Implicit differentiation, we do the differentiation of functions expressed in terms of more than one variable. The formulas for derivatives of the functions are the same as normal differentiation but the derivative of another variable is done following chain rule. The general representation of implicit differentiation can be d/dx{f(x,y)}....

How to do Implicit Differentiation

The following steps need to be followed to differentiate any implicit function....

Implicit Differentiation of Inverse Trigonometric Functions

Implicit differentiation is very useful in finding derivatives of Inverse trigonometric Functions....

Difference between Implicit and Explicit Differentiation

Implicit Differentiation and Explicit Differentiation are the two methods of differentiation that are used in calculus. The differences between them are explained in the table below,...

Implicit Differentiation Examples

Example 1: Find the derivative of y + x + 5 = 0....

Practice Questions on Implicit Differentiation

Q1: Differentiate 3x2 + y3 = 6x...

Implicit Differentiation-FAQs

1. What is Implicit Differentiation?...