Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $y = x^{-\frac{2}{3}} \ln x$ for $x > 0$, and it possesses a single stationary point.
(a)[5]

Determine the exact coordinates of the stationary point.

(b)[5]

Demonstrate that $\int_{1}^{8} y\,dx = 18\ln 2 - 9$.

Worked solution & mark scheme

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