#### Answer

Quotient Rule:
$f(x) = \frac{1}{x^{10}}$
$f'(x) = \frac{(0)(x^{10})-(1)(10x^{9})}{(x^{10})^2} = \frac{-10}{10^{11}}$
Power Rule:
$f(x) = \frac{1}{x^{10}} = x^{-10}$
$f'(x) = (-10)x^{-10-1} = -10x^{-11}$

#### Work Step by Step

Derivatives can be taken in many ways. As long as a function follows the general form of a particular method, that method can be utilized. In this case, the quotient and power rules are applicable.