University differentiation and its applications quiz to download as PDF

This University differentiation and its applications quiz has 10 short questions for pupils aged 18-19. Type your answer, check it straight away and read the explanation when you get one wrong.

University differentiation and its applications quiz: the 10 questions

\(\frac d{dx}e^{3x}\)?
\(\frac d{dx}\ln(x^2)\)?
Second Maclaurin term of \(e^x\)?
\(\lim_{x\to0}\frac{\sin x}{x}\) by L'Hopital?
Name the theorem: \(f(a)=f(b)\Rightarrow f'(c)=0\).
\(\frac d{dx}\sin(x^2)\)?
Coefficient of \(x^3\) in the Maclaurin series of \(\sin x\)?
Is \(x^3\) increasing on \(\mathbb R\)?
Maximum of \(x(10-x)\)?
\(\frac d{dx}\arcsin x\)?

How to use this University differentiation and its applications quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the differentiation and its applications lesson and try again later. After that, try the multiple choice questions or the differentiation and its applications worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.