Calculus & Vectors (MCV4U) · Intro Calculus

Product Rule and Quotient Rule

10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.

Start the 10 questions Curriculum: MCV4U-IC.4

Sample: the first question, solved

State the product rule for derivatives: if h(x)=f(x)g(x), what is h'(x)?

📘 Worked solution
The product rule differentiates each factor in turn while holding the other fixed, then adds the results: h'(x)=f'(x)g(x)+f(x)g'(x).

And one from the hard end

Verify the answer from Q2 by expanding h(x)=x³+3x² and differentiating directly.

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

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