Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is given by $y = 2x^2 - 3$. The points $A$ and $B$, whose $x$-coordinates are $2$ and $(2 + h)$ respectively, are on the curve.

(a)[3]

Find and simplify an expression for the gradient of chord $AB$ in terms of $h$.

(b)[2]

Explain how the gradient of the curve at point $A$ can be obtained from the answer to part (a), and state this gradient.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$f(2+h)=2(2+h)^2-3$.” …