Derivative Calculator
Enter any function of x to get its symbolic derivative — not just polynomials. The calculator applies the chain rule, the product rule, the quotient rule and the standard derivatives of sin, cos, tan, exp, ln and roots, then simplifies the result.
Frequently asked questions
What functions are supported?
Any combination of +, −, ×, ÷, ^ and the functions sqrt, sin, cos, tan, exp, ln, log, asin, acos, atan, applied to x.
Does it apply the chain rule?
Yes. Composite functions like sin(x²) and exp(−x²) are differentiated with the chain rule automatically.
What about exponential equations like xˣ?
The calculator rewrites f(x)^g(x) as exp(g·ln f) internally, so it differentiates correctly even when both base and exponent depend on x.