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)

Apply the 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)

Check the function, variable and any domain or bounds before calculating. Differentiation and integration results depend on the expression and conditions supplied, so an algebraically valid result still needs to match the original problem.

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

References:

Chain rule

The Chain Rule for Multivariable Functions

Frequently Asked Questions FAQ

What does Chain Rule Calculator calculate?

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

What is the formula for Chain Rule Calculator?

The formula used by the calculator is: d/dx f(g(x)) = f′(g(x))g′(x)

What inputs does Chain Rule Calculator need?

Enter the outer function f and inner function g so both derivatives can be applied in the chain rule.

How can I verify the Chain Rule Calculator result?

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

How should I round the Chain Rule Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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