Question

d/dx (x log x) is equal to​

Answer 1

Answer:

$log(x) + 1$

Step-by-step explanation:

By applying product rule,

$\dfrac{d}{dx} ( f(x) · g(x)) = f(x)'·g(x)+f(x)·g(x)'$

$\dfrac{d}{dx} (x log(x)) = \dfrac{d}{dx}(x)·log(x) +x·\dfrac{d}{dx}(log(x))$

$= log(x) +x·\dfrac{1}{x}$

$= log(x) + 1$