This ap calculus derivative rules quiz asks 10 multiple-choice questions on definition of the derivative and basic rules, and each answer comes with a short explanation.
This 10-question multiple choice quiz checks the limit definition, differentiability, the power, product and quotient rules, and trig, exponential and logarithmic derivatives. Pick the one correct answer for each question, then read the explanation to learn from any miss.
🎉 Quiz complete!
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
- AP Calculus AB Unit 2: \(f^{\prime}(a)=\lim_{h\to 0}\frac{f(a+h)-f(a)}{h}\) is the slope of the tangent line at \(x=a\).
- Average rate of change on \([a,b]\) is \(\frac{f(b)-f(a)}{b-a}\), the slope of a secant line.
- Power rule: \(\frac{d}{dx}x^{n}=nx^{n-1}\). Product rule: \((fg)^{\prime}=f^{\prime}g+fg^{\prime}\). Quotient rule: \((\frac{f}{g})^{\prime}=\frac{f^{\prime}g-fg^{\prime}}{g^{2}}\).
- A function is not differentiable at a corner, cusp, vertical tangent or discontinuity; differentiable implies continuous.
- \(\frac{d}{dx}\sin x=\cos x\), \(\frac{d}{dx}\cos x=-\sin x\), \(\frac{d}{dx}e^{x}=e^{x}\), \(\frac{d}{dx}\ln x=\frac{1}{x}\).
How to use this ap calculus derivative rules quiz
Retake this ap calculus derivative rules quiz until every answer is right, then move on to the worksheet and the test.
See every chapter on the AP Calculus AB math page.