Find the derivative of the function.
-$y=x^{2} \ln x^{2}$
A) $2 x\left(1+\ln x^{2}\right)$
B) $\frac{2 x^{2}\left(1+\ln x^{2}\right)}{x^{2}}$
C) $2 x+\ln x^{2}$
D) $2(x+\ln x)$

Question

Quizplus · Accepted Answer

The function is a product of $x^2$ and $\ln x^2$. Using the product rule and chain rule, the derivative is $2x \ln x^2 + x^2 \cdot \frac{2}{x} = 2x \ln x^2 + 2x = 2x(1 + \ln x^2)$.

Find the Derivative of the Function y=x2ln⁡x2y=x^{2} \ln x^{2}y=x2lnx2 A) 2x(1+ln⁡x2)2 x\left(1+\ln x^{2}\right)2x(1+lnx2)

Find the Derivative of the Function $y=x^{2} \ln x^{2}$ A) $2 x\left(1+\ln x^{2}\right)$