( x n ) ′ = n ∗ x n − 1 {\displaystyle (x^{n})'=n*x^{n-1}}
EX1: f ′ ( x 6 ) {\displaystyle f'(x^{6})} Using the Power rule f ′ ( x n ) = n ∗ x n − 1 {\displaystyle f'(x^{n})=n*x^{n-1}}
f ′ ( x 6 ) = 6 ∗ x 6 − 1 {\displaystyle f'(x^{6})=6*x^{6-1}}
f ′ ( x 6 ) = 6 x 5 {\displaystyle f'(x^{6})=6x^{5}}