CPM Homework Help : CALC Problem 5-122

Find the derivative of each function.

$f ( x ) = x \sqrt { 5 - x ^ { 2 } }$
Hint (a):
This derivative involves both the Product Rule and the Chain Rule.
Answer (a):
$f'(x)=\frac{5-2x^{2}}{\sqrt{5-x^{2}}}$ Show the steps!

$g(x) = 2\operatorname{cot}(5x) − 2\operatorname{ cos}^3 x$
Hint (b):
Be very careful to keep track of positive and negative coefficients.