
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Please use the rules of differentiation to find the derivatives of the following functions:  
\\((1)y=e^{\sin x}\\)  
\\((2)y= \dfrac {x+3}{x+2}\\)  
\\((3)y=\ln (2x+3)\\)  
\\((4)y=(x^{2}+2)(2x-1)\\)  
\\((5)y=\cos (2x+ \dfrac {\pi}{3})\\).

Present the answer in LaTex format: \boxed{Your answer}
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