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Mathematics 16 Online
OpenStudy (amtran_bus):

I disagree with my textbook. Need help

OpenStudy (anonymous):

whatever it is, i am on your side

OpenStudy (amtran_bus):

OpenStudy (amtran_bus):

So on the pic, under the POWER RULE step

OpenStudy (anonymous):

can't see it though, screen shot is bad

OpenStudy (amtran_bus):

Where did they take in account for the - 1/2 exponent that was supposed to be there when they took derivative?

OpenStudy (amtran_bus):

Its working for me @satellite73

OpenStudy (amtran_bus):

Can anyone see it?

OpenStudy (anonymous):

what book is it?

OpenStudy (amtran_bus):

Thomas' calculus Alternete edition

OpenStudy (amtran_bus):

can anyone see the pic?

pooja195 (pooja195):

cant find the book sorry!! :( Try taking a better pic.

OpenStudy (amtran_bus):

Gurr. Give me time and I will type it out

OpenStudy (amtran_bus):

\[\ln (x^2+1)+\ln(x+3)^{1/2}-\ln(x-1)\] Then \[\ln (x^2+1)+1/2 \ln (x+3)- \ln (x-1)\]

OpenStudy (anonymous):

The idea is \[ \ln\left((x+3)^{1/2}\right) = \frac 12 \ln(x+3) \]

OpenStudy (amtran_bus):

How?

OpenStudy (anonymous):

\[\begin{array}{rcl} \ln\left((x+3)^{1/2}\right) &=& y\\ (x+3)^{1/2} &=& e^y\\ x+3 &=& (e^y)^2\\ x+3 &=& e^{2y} \\ \ln(x+3) &=& 2y \\ \frac 12 \ln(x+3) &=& y \\ \ln\left((x+3)^{1/2}\right) &=& \frac 12 \ln(x+3) \end{array} \]

OpenStudy (amtran_bus):

Ok. Thanks. Im satisfied now

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