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April 12th, 2017, 11:33 AM   #1
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Antiderivative graph







I really do not know how to start this problem or how to analyze it. Can somebody explain this to me.

(PLEASE NO ANSWERS, I NEED TO LEARN THIS)

Thank you!
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April 12th, 2017, 12:22 PM   #2
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Looking at the graph of f(x), what do you think f(x) is?
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April 12th, 2017, 01:35 PM   #3
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Quote:
Originally Posted by Bobbyjoe View Post






I really do not know how to start this problem or how to analyze it. Can somebody explain this to me.
!
Have you learned what the sign of the derivative tells you about the behavior of a function? What does the sign of the 2nd derivative tell you?
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April 12th, 2017, 03:10 PM   #4
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Do you see that this graph is a straight line? Do you know that any (non-vertical) line can be written as y= mx+ b? Here, you can see that y(0)= 1 and y(1)= 0. So y(0)= m(0)+ b= b= 1. And y(1)= m(1)+ b= m+ 1= 0. Solve for m.

Once you know m and b, F'(x)= mx+ b so F(x) is the integral of that plus a constant. The information that F(0)= 0 allows you to find that constant.
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