$(15$ points$)$

Use tifferentiation rules to find the derivative of ench function. Stow your work and do any remonalle simplification.

a$.f(x)=x1$

b$.f(x)=2x^3-\sqrt[\phantom{2}]{x}4x^{-2}7-x\frac{1}{x^{10}}$

c$.f(x)=\frac{e^2}{9x^{3}1}$

d$.f(x)=si{n}^{2}x$

e$.f(x)=cosxsinx$

f$.f(x)=e^x-x^x$

g$.f(x)=\frac{x}{e^x}$