Question

calcule a derivada de : ( lnx+x)^4

Answer 1

f(x)= ( (ln x ) + x ) ^4
 f ' (x) = 4.((1/x) + 1) . ((ln x) + x )^3 =     
o 4 é o expoente que multiplica , 1/x+1 é a derivada de u (u=((ln x) + x)
(4x + 4)[(ln x) + x]^3

Answer 2

Olá Flávia!

$\\ \mathsf{\left ( \ln x + x \right )^4 =} \\\\ \mathsf{4 \cdot \left ( \ln x + x \right )^{4 - 1} \cdot \left ( \ln x + x \right )' =} \\\\ \boxed{\mathsf{4 \cdot \left ( \ln x + x \right )^{3} \cdot \left ( \frac{1}{x} + 1 \right )}}$