1.9.16 Implicit differentiation (A-level only)

The point $P\,$ lies on the curve with equation $y=12x+2\displaystyle y = \frac{12}{x + 2}$ with $x$ -coordinate 2.

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 $y=12x+2\displaystyle y = \frac{12}{x + 2}$ with $x$ -coordinate 2.

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]

1.9.16 Implicit differentiation (A-level only) Questions