Concavity and the Second Derivative Test
30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.
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
"For f(x)=x⁴−4x³, find critical points using f'(x), then classify each with the second derivative test, noting any inconclusive results."
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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