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

Printable View

- Jan 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

- Jan 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. - Jan 13th 2011, 10:55 PMDrexel28