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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- January 12th 2011, 07:44 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

- January 12th 2011, 08:16 AMroninpro
Maybe you could try Taylor's theorem? Write

for some and . Taking the limit of the quotient should give you the result. - January 13th 2011, 10:55 PMDrexel28