Prove that if f and g' are continuous real functions on [a,b] then

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- Apr 10th 2008, 07:53 AMmatty888Function Proof
Prove that if f and g' are continuous real functions on [a,b] then

http://answerboard.cramster.com/Answ...5762506171.gif - Apr 10th 2008, 08:00 AMThePerfectHacker
To find you need to basically compute the primitive and apply the fundamental theorem. Since is a continous function on it has a primitive so that on the interval and is continous on . Say that is increasing, and consider the function on . Then, by the Chain rule. Thus, .