Mathematics & Statistics / Calculus
Derivative Calculator
Calculator
Derivative Calculator
Differentiate functions to find rates of change, slopes, and optimization-critical behavior in calculus workflows.
Formula
If y = f(x), derivative is f'(x) = lim[h->0] (f(x+h)-f(x))/h
Worked Example
functionx^3 - 4x + 1
Result: f'(x) = 3x^2 - 4The derivative gives instantaneous slope at any x and identifies critical points where slope becomes zero.
Frequently Asked Questions
Why are derivatives useful in optimization?
Setting derivative to zero locates stationary points that can be tested for minima, maxima, or inflection behavior.
Can this handle trigonometric functions?
Yes. Standard derivative rules apply to trig, exponential, and logarithmic terms.