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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 131

A magnetic field is modeled such that a specific field line CCC follows the equation

4x+5y2+2xy2=10(5x)+10,y>0 4x + 5y^{2} + 2xy^{2} = 10(5^{x}) + 10, \quad y > 0 4x+5y2+2xy2=10(5x)+10,y>0

where xxx and yyy are distances in centimeters.

a.

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

[6]
b.

The field line CCC crosses the yyy-axis at the point PPP.

Find the exact value of the gradient of the field line at PPP.

[4]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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