Answer
The Derivative is:
$y'=-\csc x\cot x-\frac{2}{\sqrt{x}}$
Work Step by Step
$y=\csc x-4\sqrt{x}+7$
Applying Derivative Rules:
$y'=f'(x)+g'(x)$
$y'=(-\csc x\cot x)-(4)(\frac{1}{2\sqrt{x}})+(0)$
$y'=-\csc x\cot x-\frac{2}{\sqrt{x}}$
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