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Mathematics 20 Online
OpenStudy (anonymous):

differentiate loge pi^x

OpenStudy (anonymous):

you wanna differentiate this?\[Log_e \pi^x\]

OpenStudy (anonymous):

\[\ln(\pi^x)\]?

OpenStudy (anonymous):

if so, start with \[\ln(\pi^x)=x\ln(\pi)\] and it should be easy from there

OpenStudy (anonymous):

could you please show me the steps henceafterwards

OpenStudy (anonymous):

what's derivative of 2x?

OpenStudy (anonymous):

You now have: \[\frac{d}{dx}\ln(\pi^x)=\frac{d}{dx}x \ln(\pi)=\ln(\pi)\] Since its a constant times x and the derivative of x is 1.

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