( 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}}
EX2: f ′ ( x 7 ) {\displaystyle f'(x^{7})} Using the Power rule f ′ ( x n ) = n ∗ x n − 1 {\displaystyle f'(x^{n})=n*x^{n-1}}
f ′ ( x 7 ) = 7 ∗ x 7 − 1 {\displaystyle f'(x^{7})=7*x^{7-1}}
f ′ ( x 7 ) = 7 x 6 {\displaystyle f'(x^{7})=7x^{6}}
EX3: f ′ ( x 7 ) {\displaystyle f'(x^{7})} Using the Power rule f ′ ( x n ) = n ∗ x n − 1 {\displaystyle f'(x^{n})=n*x^{n-1}}
Using the Power rule
Using the Power rule
Using the Power rule