Let be an interval and let . Suppose that and are defined on and that the derivatives , exist and are continuous on . If and for , but , show that

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- Jan 12th 2011, 08:44 AMMarkeurDifferentiation
Let be an interval and let . Suppose that and are defined on and that the derivatives , exist and are continuous on . If and for , but , show that

- Jan 12th 2011, 09:16 AMroninpro
Maybe you could try Taylor's theorem? Write

for some and . Taking the limit of the quotient should give you the result. - Jan 13th 2011, 11:55 PMDrexel28