3 years ago

I NEED HELP PLEASE :((

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

Answer:

Options 1 and 2

Step-by-step explanation:

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Answer:

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Given:

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using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

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3 years ago

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