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Grade 12 · Calculus

Derivative rules

844 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    Let f(x)=2x2+9x+3f(x) = 2x^{2} + 9x + 3. Find the average rate of change of ff on the interval [0,5][0, 5].

  2. Warm-up

    Let f(x)=5x2+4x+4f(x) = 5x^{2} + 4x + 4. Find the average rate of change of ff on the interval [2,4][2, 4].

  3. Warm-up

    Let f(x)=5x2+8x+7f(x) = 5x^{2} + 8x + 7. Find the average rate of change of ff on the interval [−3,−1][-3, -1].

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