✏️ Practice Exercises

Calculus

3 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

Differentiate f(x) = 4x³ − 2x + 7

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Power rule term-by-term.

Your Working

02

medium

∫ (3x² + 2x) dx

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Reverse power rule.

Your Working

03

hard

d/dx [x² · sin x] (product rule)

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(uv)′ = u′v + uv′.

Your Working

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