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Further Mathematics Notes

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

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