Differentiation

The point $P\,$ lies on the curve with equation $y=83x+1\displaystyle y = \frac{8}{3x + 1}$ with $x$ -coordinate 1.

a.

Find an equation for the normal to the curve at the point $P$ .

[5]

b.

The normal intersects the curve again at the point $Q$ . Find the exact coordinates of $Q$ .

[2]

The point $P\,$ lies on the curve with equation $y=83x+1\displaystyle y = \frac{8}{3x + 1}$ with $x$ -coordinate 1.

a.

Find an equation for the normal to the curve at the point $P$ .

[5]

b.

The normal intersects the curve again at the point $Q$ . Find the exact coordinates of $Q$ .

[2]

Differentiation Questions