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Math Help - Calculus HW #1 differenciable

  1. #1
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    Exclamation Calculus HW #1 differenciable

    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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  2. #2
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    Quote Originally Posted by Nimmy View Post
    1. Write the precise definition for a function f(x) defined for all values of x to be a differentiable function.
    The derivative of a function f is a function defined as, all the values in the domain such that,
    \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.
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