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1.10 G: Differentiation

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Question 202

The surface profile of a high-precision optical lens is modeled by the curve C C\,C with equation

y=(5x−14)4 y = (5x - 14)^4 y=(5x−14)4
a.

Find dydx\dfrac{dy}{dx}dxdy​.

[2]
b.

The point P(3,1)P(3, 1)P(3,1) lies on CCC. Find the equation of the normal to C C\,C at PPP. Write your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a,b a, b\,a,b and c c\,c are integers to be found.

[4]
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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