QuestionFind the derivative of the function below. $$\begin{array}{l} h(x)=x \cot (10 \sqrt{x})+17 \\ \frac{d h}{d x}=\square \end{array}$$ $\square$

Studdy Solution
Simplify the derivative expression:
$$\frac{d h}{d x} = \cot(10 \sqrt{x}) - 5 \sqrt{x} \csc^2(10 \sqrt{x})$$
The derivative of the function $h(x)$ is:
$$\boxed{\cot(10 \sqrt{x}) - 5 \sqrt{x} \csc^2(10 \sqrt{x})}$$