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1.10 G: Differentiation

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Question 15

A curve has equation y=4x2+16x+1y = 4x^2 + \dfrac{16}{x} + 1y=4x2+x16​+1 for x>0x > 0x>0.

a.

Find dydx\dfrac{dy}{dx}dxdy​.

[3]
b.

Find the exact range of values of x x\,x for which the curve is increasing.

[2]
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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