Skip to content

Course home

1.9.16 Implicit differentiation (A-level only)

1.9.16 Implicit differentiation (A-level only)

MediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546
Question 6

A curve has the equation 3x2+xy+y2=203x^2 + xy + y^2 = 203x2+xy+y2=20

The gradient of the tangent to the curve is 43\displaystyle \frac{4}{3}34​ at the points P P\,P and QQQ.

a.

Show that 2x+y=02x + y = 02x+y=0 at P P\,P and QQQ.

[6]
b.

Find the coordinates of P P\,P and QQQ.

[3]
Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank