Find the derivative of the function.
-$y=\ln 5 x^{2}$
A) $\frac{1}{2 x+5}$
B) $\frac{2 x}{x^{2}+5}$
C) $\frac{10}{x}$
D) $\frac{2}{x}$

Question

Quizplus · Accepted Answer

The derivative of $y = \ln(5x^2)$ is found using the chain rule. The derivative of $\ln(u)$ is $\frac{1}{u}$ times the derivative of $u$. Here, $u = 5x^2$, so the derivative is $\frac{1}{5x^2} \times 10x = \frac{10x}{5x^2} = \frac{2}{x}$.

Find the Derivative of the Function y=ln⁡5x2y=\ln 5 x^{2}y=ln5x2 A) 12x+5\frac{1}{2 x+5}2x+51​

Find the Derivative of the Function $y=\ln 5 x^{2}$ A) $\frac{1}{2 x+5}$