Estimate how much the function f (x) = (x / x +1 ) -3 will change as x decreases from 4 to 3.8
If anyone could explain this, that would be great..practice problem for a test coming up.
I got -0.008 would like to check it.
Also have another question,
find the derivative f(x) = 2x + 5 / (1 - 2x)^3
Hello, mkp23!
Estimate how much the function will change
as decreases from 4.0 to 3.8
If anyone could explain this, that would be great . . .
. . practice problem for a test coming up.
I got -0.008 would like to check it. . Correct!
The key word is "estimate" ... meaning we're dealing with differentials.
We have: .
Then: .
We are given: .
Therefore: . .(approximate change)
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
We can compare it to the actual change of
The actual change is: .