Differentiate $\frac{5}{\sqrt{9-4\mathrm{e}^{2x}}}$ with respect to $x$.[3] Find \(\displaystyle

Question

Differentiate $\frac{5}{\sqrt{9-4\mathrm{e}^{2x}}}$ with respect to $x$.[3] Find $\displaystyle\int \frac{(\sqrt{x}+1)^2}{2x} \, \mathrm{d}x$.[4]

Accepted Answer

(a)$\frac{\mathrm{d}y}{\mathrm{d}x}=20e^{2x}(9-4e^{2x})^{-1.5}$ (b)$\frac{1}{2}x+2x^{0.5}+\frac{1}{2}\ln x+ C$

2024 ASRJC H1 Q3