I disagree with my textbook. Need help
whatever it is, i am on your side
So on the pic, under the POWER RULE step
can't see it though, screen shot is bad
Where did they take in account for the - 1/2 exponent that was supposed to be there when they took derivative?
Its working for me @satellite73
Can anyone see it?
what book is it?
Thomas' calculus Alternete edition
can anyone see the pic?
cant find the book sorry!! :( Try taking a better pic.
Gurr. Give me time and I will type it out
\[\ln (x^2+1)+\ln(x+3)^{1/2}-\ln(x-1)\] Then \[\ln (x^2+1)+1/2 \ln (x+3)- \ln (x-1)\]
The idea is \[ \ln\left((x+3)^{1/2}\right) = \frac 12 \ln(x+3) \]
How?
\[\begin{array}{rcl} \ln\left((x+3)^{1/2}\right) &=& y\\ (x+3)^{1/2} &=& e^y\\ x+3 &=& (e^y)^2\\ x+3 &=& e^{2y} \\ \ln(x+3) &=& 2y \\ \frac 12 \ln(x+3) &=& y \\ \ln\left((x+3)^{1/2}\right) &=& \frac 12 \ln(x+3) \end{array} \]
Ok. Thanks. Im satisfied now
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