FURTHER MATHEMATICS SSS2 FIRST TERM

WEEK 2

TANGENTS AND NORMAL TO CURVES

Contents

For any curve, dydx is the gradient function. At any point on the curve, dydxat that point, gives the gradient of the tangent at the point. The derivation of y with respect to x at x = x₁ is denoted.

Solution

x²y + y²x + 3x – 13 = 0

Sketch the curve y = x³ – 6x² + 9x.

Find:

(i)the equation of the tangent to the curve y = x³ + x2 – 8x + 2 at the point A(1, -4);

(ii) the coordinate of the point where the tangent meets the x–axis.

Evaluation.... View More