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

Question

Quizplus · Accepted Answer

The derivative of $y = \ln(5x)$ with respect to $x$ is $\frac{1}{x}$ because the derivative of $\ln(ax)$ is $\frac{1}{x}$ for any constant $a$, as the constant $5$ does not affect the differentiation of the logarithmic function with respect to $x$.

Find the Derivative of the Following Function y=ln⁡5xy = \ln 5 xy=ln5x

Find the Derivative of the Following Function $y = \ln 5 x$