Question

Quantitative Reasoning

оЗа. [3 marks]

y=\frac{x^{2}+5}{x-2} . \text { Use the Quotient Rule to find } \frac{d y}{d x} \text {. }

(1)Use the Product Rule to differentiate the function y = (4x2)(2x + 4).

\text { (ii) Hence, evaluate } \frac{d y}{d x} \text { when } x=-1 \text {. }

Find the area bounded by the curve y = 3x2 + 4x, the x-axis, the line x = 1and the line x = 3.