Definition
f′(a) = limh→0 (f(a+h) − f(a)) / h when the limit exists.
Power, product, chain
(xn)′ = n xn−1. (uv)′ = u′v + uv′. (f(g(x)))′ = f′(g(x)) g′(x).
Higher order
f″ is the derivative of f′. This page repeats differentiation up to four times.
FAQ
Implicit dy/dx?
Solve for y first or rearrange; this tool differentiates an expression in one variable.
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Open the calculator — Derivative Calculator