Answer
${dy}=\frac{3}{\sqrt{x}}\csc({1-2\sqrt{x}})\cot({1-2\sqrt{x}})){dx}$
Work Step by Step
We evaluate the function: $y=3\csc({1-2\sqrt{x}})$
on differentiating the above:
$\frac{dy}{dx}=\frac{d(3\csc({1-2\sqrt{x}}))}{dx}$
or $\frac{dy}{dx}=-3\csc({1-2\sqrt{x}})\cot({1-2\sqrt{x}})\frac{d(({{1-2\sqrt{x}}})}{dx}$
or $\frac{dy}{dx}=\frac{3}{\sqrt{x}}\csc({1-2\sqrt{x}})\cot({1-2\sqrt{x}}))$
or ${dy}=\frac{3}{\sqrt{x}}\csc({1-2\sqrt{x}})\cot({1-2\sqrt{x}})){dx}$
The final answer is: ${dy}=\frac{3}{\sqrt{x}}\csc({1-2\sqrt{x}})\cot({1-2\sqrt{x}})){dx}$
