Applications of Derivatives (Tangent Lines, Rates of Change)
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 slope of the tangent line to f(x)=x² at x=1.
📘 Worked solution
✓f'(x)=2x, so f'(1)=2.
And one from the hard end
"A field's area is A(x)=x(100−2x). Find A'(x), the width maximizing area, and the maximum area."
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
Your Winny Score tracks you as the questions ramp up. Stuck on one? A real Winny Math tutor will walk you through it. First lesson free.
Start practicing