Mathematics: Let f (x) = 10/x-4 What is the average rate of change of f (x) from 2 to 8 ? Enter your response as a decimal.

Let f (x) = 10/x-4 What is the average rate of - id10413573166, lalkjlkeu9709

Ответ:

FireStorm6265

01.07.2021

Mathematics

1.875

Step-by-step explanation:

The rate of change is the derivative of the function.

$f(x) = \frac{10}{x-4}\\\\f'(x)=10\times \frac {d}{dx}\frac{1}{x-4}\\\\f'(x)=\frac{-10}{(x-4)^{2}}\\\\f'(2) = \frac{-10}{(2-4)^{2}} =-2.5\\\\f'(8)= \frac{-10}{(8-4)^{2}} =-0.625\\$

So, the rate of change is

f'(8) - f'(2) = - 0.625 + 2.5 = 1.875

0,0(0 оценок)

Ответ:

ralucacoriciuc2482

04.08.2022

Mathematics

gamers

Explanation:

epic

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Let f (x) = 10/x-4 What is the average rate of change of f (x) from 2 to 8 ?

Enter your response as a decimal.

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