QuestionLet $k$ be a constant. Compute $\frac{d}{d x}[\ln (k x)]$ in two ways. a) Using the Chain Rule, first decompose $y=\ln (k x)$ into an outside and inside function Outside function (in terms of $u$ ): $y=$ $\square$ Inside function (in terms of $x$ ): $u=$ $\square$ .
Then find the derivative, $\frac{d}{d x}[\ln (k x)]=$ $\square$ (simplify your answer). b) Using a law of logarithms to simplify first: $\ln (k x)=$ $\square$ $+\widehat{v}$ $\ln x$. (Fill in the blanks to make this a true statement.) Now take the derivative of the simplified function: $\frac{d y}{d x}=$ $\square$ Note: You can earn partial credit on this problem.