1. Write the precise definition for a function f(x) defined for all values of x to be a differentiable function.

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- Nov 15th 2006, 05:01 PMNimmyCalculus HW #1 differenciable
1. Write the precise definition for a function f(x) defined for all values of x to be a differentiable function.

- Nov 15th 2006, 06:58 PMThePerfectHacker
The derivative of a function $\displaystyle f$ is a function defined as, all the values in the domain such that,

$\displaystyle \lim_{\Delta x\to 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}$ exist (and at least one exists).

The map of the function is defined as its limit value.