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Derivative Calculator

Compute the symbolic derivative of a function using standard differentiation rules: power rule, product rule, quotient rule, and chain rule.

Input

Examples

Result

Enter a function and click Compute

How This Calculator Works

Enter any single-variable function using standard math notation — polynomials, trig functions, exponentials, logarithms, and compositions. The calculator performs symbolic differentiation and applies the chain rule, product rule, and quotient rule automatically, showing each step.

Supported Functions

Handles sin, cos, tan, arcsin, arccos, arctan, sinh, cosh, tanh, exp, log, ln, sqrt, abs, and arbitrary compositions like sin(e^x) or ln(x^2+1). Results are simplified and displayed in LaTeX with an interactive graph.

Step-by-Step Output

Each solution identifies the differentiation rules applied at every stage — power rule, chain rule, product rule, quotient rule — so you can follow along and verify the work against your own calculations.