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Calculus1 14 Online
OpenStudy (anonymous):

Find the derivatives and give the interval for which the results are valid.

OpenStudy (anonymous):

\[\frac{ d }{ dx }(\ln(2x ^{2}+1))\]

OpenStudy (anonymous):

@jim_thompson5910 please help, im at it again

jimthompson5910 (jim_thompson5910):

use the chain rule and the rule that if y = ln(x) then dy/dx = 1/x

OpenStudy (anonymous):

4x/2x^2+1?

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

so the interval will be (-1,infinity)?

jimthompson5910 (jim_thompson5910):

assuming you meant to write \[\Large \frac{4x}{2x^2+1}\]

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

this is valid for all real numbers, so the interval is (-infinity, infinity)

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