Question

compute the derivative of ln(1/2 x) in two different ways. [Hint: one requires the chain rule, the other does not]

Answer 1

Answer:

Step-by-step explanation:

let y=ln(1/2 x)

$\[\frac{dy}{dx} =\frac{1}{\frac{1}{2} x} *\frac{1}{2} =\frac{1}{x} \]\\2nd method\\\[y=\ln\frac{x}{y} x=\[\ln\frac{1}{2} +\ln x\]\\[\frac{dy}{dx} =\frac{1}{x} \]$