# 2022 TJC J1 MYE Q6

## Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
##### 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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Published: 14th August 2023
Written by
Timothy Gan
This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
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