Question

derivada de 7^x²+2x ?

Answer 1

Explicação passo-a-passo:

Temos que:

$\sf y=a^u~\Rightarrow~y'=u'\cdot a^u\cdot ln~a$

Assim:

$\sf f(x)=7^{x^2+2x}$

$\sf f'(x)=(x^2+2x)'\cdot7^{x^2+2x}\cdot ln~7$

$\sf f'(x)=(2x+2)\cdot7^{x^2+2x}\cdot ln~7$

$\sf f'(x)=2\cdot(x+1)\cdot7^{x^2+2x}\cdot ln~7$