Tangents and Normal to Curves

Evaluation

Find the equation of the normal to each of the following curve

(4) y = (2x – 3) (x + 2) at x = 1

General Evaluation

Find the equation of the tangent to each of the following curve at the given points

(1) y = x² – 3x – 4 at x = 1

(2) y = x³ + 2x² – 3x + 1 at x = -1

(3) y = 1 – 2x + 5x² – x³ at x = 3

Find the equation of the normal to each of the following curve

(5) y = 6 – 2x + 3x² – 2x³ at x = 0

Reading Assignment

New Further Maths Project 2 page 143, 144, 169