These Year 13 differentiation multiple choice questions check your understanding of differentiation: chain, product and quotient rules with 10 questions for pupils aged 17-18. Each question has four answers, and the right one is explained as soon as you choose.
Year 13 differentiation multiple choice questions: the 10 questions
\(\dfrac d{dx}e^{5x}=\)
\(\dfrac d{dx}\ln(3x)=\)
\(\dfrac d{dx}\cos2x=\)
\(\dfrac d{dx}(x^2\sin x)=\)
\(\dfrac d{dx}\tan x=\)
\(\dfrac d{dx}(y^2)=\)
If \(x=t^2,\ y=t^3\), then \(\dfrac{dy}{dx}=\)
\(\dfrac d{dx}2^x=\)
The normal to a curve with gradient \(m=4\) has gradient
\(\dfrac d{dx}\dfrac{x}{x+1}=\)
How to use these Year 13 differentiation multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the differentiation: chain, product and quotient rules lesson.
Finally, practise more with the differentiation: chain, product and quotient rules worksheet and the quiz. 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.
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LessonDifferentiation: chain, product and quotient rules – Year 13 A level maths revision notes to download as PDF
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TestDifferentiation: chain, product and quotient rules – Year 13 A level maths test to download as PDF
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