Calculus:Power Rule

Power Rule

$(x^{n})'=n*x^{n-1}$

Hint

n can be any number that is a kind of constant

for example

$1/2$

Examples

Example 1

EX1:$f'(x^{6})$

Using the Power rule $f'(x^{n})=n*x^{n-1}$

$f'(x^{6})=6*x^{6-1}$

$f'(x^{6})=6x^{5}$

Example 2

EX2:$f'(x^{7})$

Using the Power rule $f'(x^{n})=n*x^{n-1}$

$f'(x^{7})=7*x^{7-1}$

$f'(x^{7})=7x^{6}$

Example 3

EX3:$f'(x^{7})$

Using the Power rule $f'(x^{n})=n*x^{n-1}$

$f'(x^{7})=7*x^{7-1}$

$f'(x^{7})=7x^{6}$