What are the derivatives for log(x) and arctan(x)?

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The discussion focuses on finding the Maclaurin series for log(x) and arctan(x). Participants clarify that applying the Maclaurin series formula involves taking derivatives, similar to sin and cos functions. The derivative of log(x) is requested, and guidance is provided for differentiating arctan(x) by relating it to y = arctan(x) and differentiating both sides. A misconception about the relationship between e^x and xlog(e) is corrected, emphasizing that they are not equivalent. Understanding these derivatives and series expansions is crucial for solving the homework problem effectively.
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Homework Statement



find maclauren series for: logx and arctan

Homework Equations



heres the maclauren series:
http://img164.imageshack.us/img164/2792/untitledff7.jpg

The Attempt at a Solution



to solve these, do i need to keep applying the maclauren series formula like i would for sin or cos?

in other words, taking the derivative for logx and arctan, if so, can someone start me out with the derivatives, i don't know them.

also is e^x the same as xlog(e) ?
 
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rcmango said:

Homework Statement



find maclauren series for: logx and arctan

Homework Equations



heres the maclauren series:
http://img164.imageshack.us/img164/2792/untitledff7.jpg

The Attempt at a Solution



to solve these, do i need to keep applying the maclauren series formula like i would for sin or cos?
Yes
in other words, taking the derivative for logx and arctan, if so, can someone start me out with the derivatives, i don't know them.

Well, what do you know. Do you not know the derivative of log(x)?

To calculate the derivative of arctan(x), try letting y=arctan(x) noting that now x=tan(y), and then differentiating both sides wrt x.
also is e^x the same as xlog(e) ?

Erm, no, what makes you think this?
 
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