Advanced Math

Derivative Calculator

Enter a function of x. Every rule used is shown — constant, power, sum, product, quotient and chain rules, plus the standard derivatives of sin, cos, tan, e^x, ln, log (base 10) and sqrt — and the result is simplified. Domain restrictions such as ln(x) needing x > 0 are listed.

Inputsd/dx f(x)

f(x)Examples: 3x^4 − 2x + 7 · x*sin(x) · sin(x)/x · e^(2x) · ln(x^2 + 1) · sqrt(x). Use * or just write 3x. log means base 10.

Step-by-step

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Fill in the fields and press Solve. The full method will appear here, one numbered step at a time.

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Related formulas

Explained with worked examples in the Formula Library.

Power rule (derivatives)Product rule Quotient rule Chain rule Standard derivatives