Calculus & Vectors (MCV4U) · Curve Sketching Optimization

Points of Inflection

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.3

Sample: the first question, solved

Find the potential point of inflection for f(x)=x³−6x²+9x, setting f''(x)=0.

📘 Worked solution
f'(x)=3x²−12x+9, f''(x)=6x−12=0, so x = 2.

And one from the hard end

"For f(x)=x⁴−4x³+2, find all potential points of inflection, verify each, and explain what this reveals about the curve's shape."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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