http://www.uploadpool.com/upload/100.../Calc_Prob.jpg
I am having trouble with this problem. I asked it on Yahoo Answers, but the responses were not very clear. If someone could explain to me how to approach this problem, that'd be great. Thanks
http://www.uploadpool.com/upload/100.../Calc_Prob.jpg
I am having trouble with this problem. I asked it on Yahoo Answers, but the responses were not very clear. If someone could explain to me how to approach this problem, that'd be great. Thanks
I might be able to help. In your attachment you are given that
$\displaystyle g(x) = \int_a^x f(t)\, dt$. You are asked about the graph of
$\displaystyle y = \frac{df}{dx}\; = \;\frac{d^2 g}{dx^2}$ from above
The behaviour of y is determine from the behaviour of g(x) and in particular the concavity of g(x). From the picture we see that g(x) goes from concave down to concave up to concave down or
$\displaystyle g'' <0,\;\;\; g''>0,\;\;\; g'' < 0$
so y will go from negative to postive to negative. Which one of your pictures does that?