Chain Rule Calculator

The chain rule handles functions nested inside other functions by multiplying the outer derivative by the inner derivative. Formula: d/dx f(g(x)) = f′(g(x))g′(x)

Check Chain Rule

The chain rule handles functions nested inside other functions by multiplying the outer derivative by the inner derivative.

Formula: d/dx f(g(x)) = f′(g(x))g′(x)

Calculus results depend on the function and the conditions around it. A limit, derivative, or integral should therefore be read together with its point or bounds.

The stated formula is a compact audit of what the calculator is evaluating, which makes it easier to check the output independently.

References:

Chain rule

The Chain Rule for Multivariable Functions

Frequently Asked Questions FAQ

What is the Chain Rule in calculus?

The Chain Rule is a fundamental concept in calculus used to find the derivative of composite functions. It allows us to differentiate functions within functions.

How does the Chain Rule Calculator work?

Our Chain Rule Calculator automates the process of finding derivatives of composite functions. You input the function, and it calculates the derivative step by step using the Chain Rule.

Can I use this calculator for higher-order derivatives?

Yes, the calculator can find higher-order derivatives using the Chain Rule. Just specify the order you need.

Can you provide an example of the Chain Rule in action?

Sure! Consider the function y = sin(3x). To find its derivative, you use the Chain Rule: dy/dx = cos(3x) * 3.

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