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Differentiation

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Question 513

The cross-section of a custom aerodynamic fairing is modeled by a curve with equation

2y2+3x=4ye0.5x 2y^2 + 3x = 4ye^{0.5x} 2y2+3x=4ye0.5x
a.

Determine an expression for dydx\frac{dy}{dx}dxdy​ in terms of xxx and yyy.

[4]
b.

The curve intersects the yyy-axis at the origin and at a point PPP.

Find the equation of the normal to the curve at PPP, writing your answer in the form y=mx+cy = mx + cy=mx+c where mmm and ccc are constants 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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