Calculus & Vectors (MCV4U) · Curve Sketching Optimization

Concavity and the Second Derivative Test

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-CSO.2

Sample: the first question, solved

Find the second derivative of f(x)=x²+6x−1.

📘 Worked solution
f'(x)=2x+6, so f''(x) = 2.

And one from the hard end

Find the second derivative of f(x)=x²−4x+3.

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

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