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 functionwill change
asdecreases 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: .![df \:=\:\left[\frac{(x+1)\!\cdot\!1 - x(1)}{(x+1)^2} - 0\right]\,dx \quad\Rightarrow\quad df \:=\:\frac{dx}{(x+1)^2}](http://latex.codecogs.com/png.latex?df \:=\:\left[\frac{(x+1)\!\cdot\!1 - x(1)}{(x+1)^2} - 0\right]\,dx \quad\Rightarrow\quad df \:=\:\frac{dx}{(x+1)^2})
We are given: .
Therefore: ..(approximate change)
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We can compare it to the actual change of
The actual change is: .
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Originally Posted by mkp23 
