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1.10.5 Implicit and parametric differentiation (A-level only)

1.10.5 Implicit and parametric differentiation (A-level only)

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Question 73

A curve has equation

y2=ye3x+2x y^2 = y e^{3x} + 2x y2=ye3x+2x
a.

Show that

dydx=3ye3x+22y−e3x \frac{dy}{dx} = \frac{3y e^{3x} + 2}{2y - e^{3x}} dxdy​=2y−e3x3ye3x+2​
[4]
b.

The curve crosses the yyy-axis at the origin (0,0)(0, 0)(0,0) and at a second point PPP. The tangent to the curve at the origin and the tangent to the curve at PPP meet at the point RRR. Find the coordinates of RRR.

[4]
Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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