Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths Edexcel
  5. Question bank

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194
Question 110

The curve CCC has equation

y=2x3+18x+5,x>0 y = 2x^3 + \frac{18}{x} + 5, \quad x > 0 y=2x3+x18​+5,x>0
a.

Find dydx\frac{\mathrm{d}y}{\mathrm{d}x}dxdy​, giving your answer in simplest form.

[2]
b.

Given that

  • the point PPP lies on CCC
  • the line with equation y=k−24xy = k - 24xy=k−24x, where kkk is a constant, is the tangent to CCC at PPP

Show that the xxx-coordinate of PPP satisfies the equation

x4+4x2−3=0 x^4 + 4x^2 - 3 = 0 x4+4x2−3=0
[3]
c.

Hence find the exact value of kkk.

[4]

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, 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