# Calculus: Derivatives using the Chain Rule – #28521

Question: Differentiate the following functions with respect to the variable x:

(a)

(b) $\frac{{{x}^{3}}-3x+1}{{{x}^{3}}+3x+1}$

(c) $\frac{1}{{{\left( 1-{{x}^{3}} \right)}^{4}}}$

(d)

(e) $\frac{\sin \,3x}{\cos \,3x}$

(f)