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Supplemental HW due 11/1 (but complete before 10/25)

1.)  State the intervals on which $f$ is increasing and state the 
intervals on which $f$ is decreasing if

~~~a.) The derivative of $f$ = $f'(x)  = {e^{2x}(x-3)^2 \over x+1}$.

~~~b.) The derivative of $f$ = $f'(x)  = {(e^{2x} - 1)(x-4)^2 \over 
(x+1)ln(x)}$.

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2.)  State the intervals on which $f$ is concave up and state the 
intervals on which $f$ is concave down if

~~~a.) The second derivative of $f$ = $f''(x)  = {ln[(x-3)^2] \over 
e^x+1}$.

~~~b.) The second derivative of $f$ = $f''(x)  = {ln(x^2 - x-1)] \over e^x 
ln(x)}$.


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