<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find $\frac{\mathrm{d}}{\mathrm{d}x}\left( \frac{\tan x}{2+\cos x} \right)$.</span></div><p style="text-align: right;">[3]</p></li><li><div class="list-item-content"><span class="list-item-text">Find $\frac{\mathrm{d}}{\mathrm{d}x}\left[ \ln {{\left( x+{{x}^{2}} \right)}^{3}} \right]$.</span></div><p style="text-align: right;">[3]</p></li><li><div class="list-item-content"><span class="list-item-text">The curve $C$ has equation $y={{\sin }^{-1}}\sqrt{{{\mathrm{e}}^{2x}}-1}$. Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and determine whether the curve has any stationary points.</span></div><p style="text-align: right;">[5]</p></li></ol>

Find $\frac{\mathrm{d}}{\mathrm{d}x}\left( \frac{\tan x}{2+\cos x} \right)$.

Find $\frac{\mathrm{d}}{\mathrm{d}x}\left[ \ln {{\left( x+{{x}^{2}} \right)}^{3}} \right]$.

The curve $C$ has equation $y={{\sin }^{-1}}\sqrt{{{\mathrm{e}}^{2x}}-1}$. Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and determine whether the curve has any stationary points.

2022 TJC J1 MYE Q6

2022 TJC J1 MYE Q6

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