Calculus & Vectors (MCV4U) · Curve Sketching Optimization

Critical Points and the First 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.

Start the 30 questions Curriculum: MCV4U-CSO.1

Sample: the first question, solved

Find the critical point of f(x)=x²−6x+8.

📘 Worked solution
f'(x)=2x−6. Setting f'(x)=0 gives 2x−6=0, so x = 3.

And one from the hard end

"Given f(x)=2x³−9x²+12x+1, find all critical points and classify each."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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