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

6-111.

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

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

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

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

Before differentiating, rewrite the expression.

Note that $\cot(x^4) ≠ \cot^4(x)$.