The Derivative from First Principles
10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.
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
Continue simplifying the derivative from Q2 to find the final result.
Solution shown after you try it in practice mode.
Work through all 10, easiest to hardest
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