Graphing a rational function
Got another problem...
Given f(x) = (x+5)/(2x-4)
Calculate the first and second derivatives, the intervals on which the function is increasing and decreasing, inflection points, and concavity.
I've calulated the first and second derivatives and come up with this:
f '(x) = (2x^2 + 4x - 30) / (2x-4)^2
f ''(x) = 8(x-17) / (2x-4)^3
I'm pretty sure those are right... but maybe not. In orer to find the intervals of increase and decrease I should find where f '(x) = 0 right? If that's the case I may need a little push to get that figured out. Based on the second derivative, the inflection point should be x=17 right? That doesn't seem right either... I'm all screwed up on this one I think...