Skip to content

Course home

1.7.19 Parametric and implicit differentiation (A-level only)

1.7.19 Parametric and implicit differentiation (A-level only)

MediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576
Question 68

A robotic welding tool follows a path in the xyxyxy-plane described by the implicit equation

3y2−12y=4x2+16x−16 3y^2 - 12y = 4x^2 + 16x - 16 3y2−12y=4x2+16x−16
a.

Determine an expression for dydx\frac{dy}{dx}dxdy​ in terms of xxx and yyy.

[3]
b.

The path of the tool is discontinuous, and it cannot operate within an exclusion zone defined by the xxx-interval (p,q)(p, q)(p,q).

By considering the points on the curve where the tangent is vertical, find the exact values of ppp and qqq.

[5]
Markscheme

1.7.19 Parametric and implicit differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.19 Parametric and implicit differentiation (A-level only)

82 exam-style questions on OCR A Level Maths 1.7.19 Parametric and implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank