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1.10 G: Differentiation

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Question 117

A curve has equation y=x3+px2+qx−5y = x^3 + px^2 + qx - 5y=x3+px2+qx−5 where p p\,p and q q\,q are constants.

The curve passes through the point A(2,1)A(2, 1)A(2,1), and the gradient of the curve at A A\,A is 5.

Find the value of p p\,p and the value of qqq.

[5]
Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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