Use the definition of the derivative to find f' (x).

f (x)=

The answer I got is

Can someone tell me if this is right? If it isn't, I will post my work to see where I went wrong.

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- Sep 14th 2008, 05:04 PMyelocDifferential equations
Use the definition of the derivative to find f' (x).

f (x)=

The answer I got is

Can someone tell me if this is right? If it isn't, I will post my work to see where I went wrong. - Sep 14th 2008, 05:10 PMJhevon
- Sep 14th 2008, 05:15 PMyeloc
- Sep 14th 2008, 05:17 PMChris L T521
- Sep 14th 2008, 05:26 PMJhevon
you are doing basic calculus. "differential equations" refers to something else. see here

- Sep 14th 2008, 05:27 PMJhevon
technically yes, technically no. it would depend on whether we are considering negative x's or positive or both. remember,

it is better not to simplify in this case, so there is no ambiguities. just apply the chain rule, as you so rightly directed, and call it a day - Sep 14th 2008, 05:39 PMyeloc
After I substituted in for x, and used the definition of the derivative of a function to set the rest of the problem up, how would I get out of the denominator?

I used the conjugate method, then I got a common denominator. I just simplified from there on out. Is this not right? - Sep 14th 2008, 05:44 PMJhevon