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9.8 Implicit Differentiation

9.8 Implicit Differentiation

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Question 43

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

9.8 Implicit Differentiation Questions

  1. A Level
  2. /Maths
  3. /9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

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