Exercise $3\mathrm{.}10$

Differentiate the functions below. You will need to use both the composite function rule and the product or quotient rule.

a$.,(x+2)(x+3{)}^2$

b$.,(2x-1{)}^2(x+3{)}^3$

c$.,x\sqrt[\phantom{2}]{(1-x)}$

d$.,x^{\frac{1}{3}}(1-x{)}^{\frac{2}{3}}$

e$.\frac{x}{\sqrt[\phantom{2}]{1-x^2}}$