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Edexcel A-Level Mathematics AS P1.4.3 Tangents Normals and Gradients Questions

Practise Edexcel IAL Mathematics P1.4.3 by evaluating f′(a), forming tangent equations, using negative reciprocal gradients for normals and solving constants.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • calculate f'(a) at a point, then form a tangent equation in y=mx+c
  • use the negative reciprocal gradient to write a normal through a given point
  • link a given tangent gradient to f'(x) to solve for constants

Edexcel A-Level Mathematics AS P1.4.3 Tangents Normals and Gradients Questions question 1

[Maximum number: 4]

The curve C has equation y=f(x), x>0 where

f′(x)=30+6−5x2x\mathrm{f}^{\prime}(x)=30+\frac{6-5 x^{2}}{\sqrt{x}}

Given that the point P(4,-8) lies on C,

find the equation of the normal to C at P, giving your answer in the form y=m x+c, where m and c are constants.

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