The point P P\,P lies on the curve with equation y=12x−1\displaystyle y = \frac{1}{2x - 1}y=2x−11 with xxx-coordinate 1.
Find an equation for the normal to the curve at the point PPP.
The normal intersects the curve again at the point QQQ. Find the exact coordinates of QQQ.
333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.