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Differentiation

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Question 167

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]

Differentiation Questions

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

Practise Edexcel A Level Maths Differentiation with exam-style questions for A Level Maths. 311 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank