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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 171

The curve CCC has equation

5x+3y2+2xy2=12(3x)+15,y>0 5x + 3y^{2} + 2xy^{2} = 12(3^{x}) + 15, \quad y > 0 5x+3y2+2xy2=12(3x)+15,y>0
a.

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

[6]
b.

Curve CCC cuts the yyy-axis at the point PPP.

Find the exact value of the gradient of the tangent to CCC 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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