This Year 13 differentiation quiz has 10 short questions for pupils aged 17-18. Type your answer, check it straight away and read the explanation when you get one wrong.
Year 13 differentiation quiz: the 10 questions
- Differentiate e^(4x).Chain rule.
- Differentiate ln x.Standard.
- Differentiate sin 3x.Chain rule.
- Differentiate tan x.Standard.
- Differentiate x e^x.Product rule.
- State the quotient rule numerator for u/v.Standard.
- If x=t^2, y=t^3, what is dy/dx at t=2?3t/2 = 3.
- Differentiate x^2 with respect to x implicitly: d/dx(y^2).Chain.
- Differentiate 3^x.a^x ln a.
- What is the gradient of the normal if tangent gradient is -2?Negative reciprocal.
How to use this Year 13 differentiation 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: chain, product and quotient rules lesson and try again later. After that, try the multiple choice questions or the differentiation: chain, product and quotient rules 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.


















