Differentiability without Continuity

چکیده مقاله

The definition of derivative make the class of differentiable functions small, in the other words the most of the single variable functions which arise in management and Economics are not differentiable and the surveying the rate of their growth is not possible with the available definition. Here we extend the class of differentiable functions by introducing a generalized definition of derivative in such a way that the validity of the theorems of this theory such as Rolle’s Theorem, Taylor’s Theorem, and Mean Value Theorem is hold yet

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