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Change of functions

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Given is the following function:

k(x)=2x^2*(℮^(40-x))

Is the change of the above function from delta x 42 to 42.1 approximately smaller than the delta k of 40?

Please give full explanation of answer (mathematical evidence).

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Solution Summary

This provides a function and how to determine if the change at one point is smaller or bigger than the change at another point.

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