Differentiate $3\ln(4-5x^2)$ with respect to $x$.[2] Differentiate \(\left(3\sqrt{x}-\frac{5}{\s

Question

Differentiate $3\ln(4-5x^2)$ with respect to $x$.[2] Differentiate $\left(3\sqrt{x}-\frac{5}{\sqrt{x}}\right)^2$ with respect to $x$, giving your answer in the form $p+\frac{q}{x^2}$, where $p$ and $q$ are constants to be determined.[3] Find $\displaystyle\int \frac{1}{5\sqrt{4-x}} \, \mathrm{d}x$.[2]

Accepted Answer

(i)$\frac{-30x}{4-5x^2}$ (ii)p=9, q=-25 (iii)$-\frac{2\sqrt{4-x}}{5}+C$

2024 NYJC H1 Q2

2024 NYJC H1 Q2