The Derivative from First Principles
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
Which expression is the correct first-principles (limit) definition of the derivative?
📘 Worked solution
✓The derivative is defined as the limit of the difference quotient as the step size h shrinks to zero: f'(x)=lim(h→0)[f(x+h)−f(x)]/h.
And one from the hard end
"Using first principles, find the derivative of f(x)=2x²−5x+1, showing all algebraic steps."
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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