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Multiple Choice: If , which of the following statements are true?



  1. is concave downward 

  1. I only 

  1. II only 

  1. I and III 

  1. II and III 

  1. I and II 

Recall that the derivative of an integral gives you the original function (FTC, part 1).

Which is greater?

The derivative of the integral, , gives you the original function, .
So, the derivative of the original function will give you the second derivative of .