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Derivatives and Rate of Change

1. The derivative of y= x lnx - x
2. The derivative of f(x)= log 2
3. Derivative of f(x)= e^x sin (x)
4. Derivative of f(x)= e^x/x^2 + 1
5. PV=RT
a. P= pressure; v=volume; r=constant; t=temp
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?

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