Chain Rule Theorem
We are going to discuss Chain Rule Theorem in this section.
For any real-valued function f which is a composite of the other two real functions p(x) and q(x) such that f = p o q
Then the rate of change of f with respect to t is expressed as,
Rate of change of f with respect to t = Rate of change of p with respect to u × Rate of change of u with respect to t i.e.
df/dt = dp/du . du/dt
Chain Rule: Theorem, Formula and Solved Examples
Chain Rule is a way to find the derivative of composite functions. It is one of the basic rules used in mathematics for solving differential problems. It helps us to find the derivative of composite functions such as (3x2 + 1)4, (sin 4x), e3x, (ln x)2, and others. Only the derivatives of composite functions are found using the chain rule. The famous German scientist, Gottfried Leibniz gave the chain rule in the early 17th century.
Let’s learn about Chain Rule formula, derivation and examples in detail below.
Table of Content
- What is Chain Rule?
- Chain Rule Theorem
- Chain Rule Steps to find the Derivative
- Chain Rule Formula
- Chain Rule Formula Proof
- Double Chain Rule of Differentiation
- Chain Rule for Partial Derivatives
- Application of Chain Rule
- Chain Rule Derivative Solved Examples
- Chain Rule Derivative Practice Problems
- Chain Rule Differential – FAQs