Differentiate a power of x

Use the power rule on a single term.

Understand the idea

For a constant a and a positive integer n, the derivative of ax^n is an x^(n−1). Multiply the coefficient by the exponent, then reduce the exponent by one.

See a worked example

If f(x) = 3x^4, f′(x) = 3 × 4 x^3 = 12x^3.

A useful check

The coefficient changes as well as the exponent.

Try a fresh practice set

Five questions with feedback on every answer. New sets can repeat familiar ideas so you can practise again. This is practice, not a certified assessment.

Number range / challenge

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