Practice Questions on Implicit Differentiation
Q1: Differentiate 3x2 + y3 = 6x
Q2: Differentiate sin x = cos y
Q3: Find dy/dx if y2 + 2xy + x3 = 21
Q4: Find dy/dx if x2/p2 + y2/q2 = 2
Implicit Differentiation
Implicit Differentiation is a useful tool in the arsenal of tools to tackle problems in calculus and beyond which helps us differentiate the function without converting it into the explicit function of the independent variable. Suppose we don’t know the method of implicit differentiation. In that case, we have to convert each implicit function into an explicit function, which is sometimes very hard and sometimes it is not even possible.
Implicit differentiation makes these problems very easy to solve. In this article, we will learn all the necessary basics we need to know about implicit differentiation formula, chain rule, implicit differentiation of inverse trigonometric functions, etc.
Table of Content
- What is Implicit Differentiation?
- Prerequisite for Implicit Differentiation
- Chain Rule in Implicit Differentiation
- Implicit Differentiation Formula
- How to do Implicit Differentiation