WMA11/01 Oct 2023, Question 1: Differentiating Polynomials
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 5 marks
The question, in short
For y = 5x³ + 3/x² − 7x with x > 0, find the first and second derivatives in simplest form.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 3 marks
Find dy/dx of y = 5x³ + 3/x² − 7x, giving the answer in simplest form.
- 1Write y = 5x³ + 3x⁻² − 7x
- 2Differentiate each term: 15x² − 6x⁻³ − 7
Answerdy/dx = 15x² − 6x⁻³ − 7
Part (b) · 2 marks
Find d²y/dx² of the given function, giving the answer in simplest form.
- 1Differentiate 15x² − 6x⁻³ − 7
- 2d²y/dx² = 30x + 18x⁻⁴
Answerd²y/dx² = 30x + 18x⁻⁴
Stuck on a step? Read the free lesson: Differentiating Polynomials
Practise more differentiating polynomials questions
Real XMA01 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on differentiating polynomials
Also searched as: WMA11 October 2023 · WMA11/01 · wma11 oct23 · IAS Maths Pure Mathematics 1 October 2023 · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.