Derivative (Free)
Differentiate a single-term function ax^n (integer n only).
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Differentiate multi-term polynomials, apply chain/product/quotient rules, and evaluate derivatives at any point with detailed workings.
Frequently Asked Questions
What is a derivative?
A derivative measures the instantaneous rate of change of a function at any point. Geometrically, it is the slope of the tangent line to the curve at that point.
What is the power rule?
The power rule states: d/dx [ax^n] = a·n·x^(n−1). For example, the derivative of 3x² is 6x.
What is the derivative of a constant?
The derivative of any constant is zero, because a constant does not change — its rate of change is zero.