Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The function is given by $f(x)=3xe^{-2x}$.

(i)[3]

Find the exact value for $f'\left(-\frac{1}{2}\right)$.

(ii)[5]

Find the exact value for $\int_{-\frac{1}{2}}^{0} f(x)\,dx$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the correct product rule” …