3 years ago

Find the area of a polygon with the vertices of A (0,1) B (0,5) C (4,5) D (6,1

1 answer:

5 0

Your area is 25 square units

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ludmilkaskok [199]

Answer:

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

Step-by-step explanation:

Given:

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

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:

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

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

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

this is our answer!

8 0

3 years ago

Maslowich

What’s the question?

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3 years ago

notka56 [123]

The answer would be c

4 0

2 years ago

yulyashka [42]

The answer to the equation is X = 7

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3 years ago

Serga [27]

what do you need to find out?

Step-by-step explanation:

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3 years ago