### Home > APCALC > Chapter 6 > Lesson 6.3.3 > Problem6-111

6-111.

For each of the following functions, what is $f^\prime(x)$? Homework Help ✎

1. $f (x) = \cot(5x^2 - 2x)$

Recall that $\frac{d}{dx}\cot(x)=-\csc^{2}(x).$

2. f (x) = $\frac { 1 } { \operatorname { cot } ( x ^ { 4 } ) }$

Before differentiating, rewrite the expression.

Note that $\cot(x^4) ≠ \cot^4(x)$.