Skip to content

Course home

Sign up

Differentiation

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121
Question 93

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

Differentiation Questions

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

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

Question bank