2022 TJC J1 MYE Q6
(a)
Find $\frac{\text{d}}{\text{d}x}\left( \frac{\tan x}{2+\cos x} \right)$.
[3]
(b)
Find $\frac{\text{d}}{\text{d}x}\left[ \ln {{\left( x+{{x}^{2}} \right)}^{3}} \right]$.
[3]
(c)
The curve $C$ has equation $y={{\sin }^{-1}}\sqrt{{{\text{e}}^{2x}}-1}$. Find $\frac{\text{d}y}{\text{d}x}$ in terms of $x$ and determine whether the curve has any stationary points.
[5]
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