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Derivative Calculator

Free online derivative calculator for polynomials, trig, exponential and logarithmic functions. Find derivatives step-by-step with rules.

How to Use This Derivative Calculator

  1. 1Select the type of function (polynomial, sin, cos, e^x, ln, etc.)
  2. 2Enter the coefficient and/or power if required
  3. 3Click Calculate to see the derivative
  4. 4Review the rule that was applied (power rule, trig rule, etc.)

Formula

Power Rule: d/dx(ax^n) = n·a·x^(n-1). Trig: d/dx(sin x) = cos x, d/dx(cos x) = -sin x. Exponential: d/dx(e^x) = e^x. Logarithmic: d/dx(ln x) = 1/x.

Frequently Asked Questions

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About Derivative Calculator

Use this free derivative calculator to find the derivative of common functions including polynomials (ax^n), trigonometric functions (sin, cos, tan), exponential (e^x) and logarithmic (ln x). Perfect for calculus students learning differentiation rules.