These Year 12 differentiation multiple choice questions check your understanding of differentiation with 10 questions for pupils aged 16-17. Each question has four answers, and the right one is explained as soon as you choose.
Year 12 differentiation multiple choice questions: the 10 questions
\(\dfrac d{dx}(x^5)=\)
\(\dfrac d{dx}(3x^2-4x+1)=\)
The gradient of \(y=x^2\) at \(x=3\) is
A stationary point has
If \(\dfrac{d^2y}{dx^2}<0\) at a stationary point it is a
The normal gradient when the tangent gradient is 4 is
\(\dfrac d{dx}\left(\dfrac1x\right)=\)
\(f\) is increasing where
\(\dfrac d{dx}\sqrt x=\)
The derivative of a constant is
How to use these Year 12 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 lesson.
Finally, practise more with the differentiation 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.


















