Derivative tools

Chain Rule Calculator

Differentiate composite functions and see where the outer and inner derivatives combine.

Worked example

sin(x^2)

Expected result2x cos(x²)

What this calculator does

Differentiate composite functions and see where the outer and inner derivatives combine. This focused tool is designed for one clear calculus task, so you see only the controls and explanations that matter.

How to use this calculator

Enter the expression, select the variable and any required controls, then press Calculate. Review the exact result before opening the steps or graph.

When this tool is useful

Use it to check homework, explore a function, confirm hand calculations, or understand how a calculus rule changes an expression.

How to read the result

Start with the exact symbolic answer. Then review verification, reliable steps, and the graph where they are available. An inconclusive verification label is not presented as a guarantee.

Supported functions and syntax

Use +, −, *, /, powers, parentheses, sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, ln, log, exp, sqrt, abs, pi, and e.

Common mistakes

From a first derivative to directional change and tangent lines, choose the tool that matches the problem you are actually solving.

Frequently asked questions

How do I use this calculator?

Enter the expression using standard notation, complete the visible controls, and select Calculate. You can then copy or share the result.

How is the result checked?

The server uses symbolic mathematics and performs an independent numerical or symbolic check whenever the operation supports one.

Why are detailed steps sometimes unavailable?

Steps appear only when a rule can be identified reliably. The calculator does not invent a procedure for an expression it cannot explain confidently.

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