alleydog9685 alleydog9685

14-09-2019
Mathematics

contestada

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

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surjithayer10otahza surjithayer10otahza

14-09-2019

Answer:

Step-by-step explanation:

let y=ln(1/2 x)

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

\[\frac{dy}{dx} =\frac{1}{x} \][/tex]

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