$f(x) = x^n Rightarrow f'(x) = n cdot x^{(n-1)}$

$f(x) = c Rightarrow f'(x) = 0$

1. Identify 'n'. 2. Multiply 'n' by the coefficient of $x^n$. 3. Reduce the exponent by 1: $n-1$. 4. Write the derivative as $f'(x) = n cdot x^{(n-1)}$.

1. Rewrite the radical as a fractional exponent: $f(x) = x^{frac{1}{2}}$. 2. Apply the Power Rule.

1. Rewrite the function with a negative exponent: $f(x) = x^{-n}$. 2. Apply the Power Rule.

1. Apply the Power Rule to each term separately. 2. Sum the results.

A method to find the derivative of power functions of the form $f(x) = x^n$.

A function in the form $f(x) = x^n$, where n is a constant.

The instantaneous rate of change of a function.

Changing the form of a function without changing its value, often to make differentiation easier.