**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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