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Differentiation

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Question 581

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

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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