Tuesday, October 11, 2011

First Principles Differentiation math help

Differentiating a function from first principles or “ab initio” means differentiating the function using the definition of derivative, only without making use of any theorem on differentiation, or derivative of standard forms.and get math homework help

Example: Differentiate tan-1 x from first principles.

Solution: Let y = tan-1x  x = tan y

 x + Δx = tan (y + Δy)

Let Δx   0 so that Δy  0. Then

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