Question

aplicando as regras de derivacao
y=x^2.lnx
ache a derivada

Answer 1

Precisamos utilizar a regra da cadeia:

F(x) = G(x)H(x)

F(x)' = G(x)'H(x) + G(x)H(x)'

$\\ Y = x^2Ln(x) \\ \\ Y' = 2xLn(x) + x^2* \frac{1}{x} \\ \\ Y' = 2xLn(x) + x \\ \\ Y' = x(2Ln(x) + 1)$