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# Derivatives

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Hi, this was the question

h is a function such that h(0) = 1, h(2) = 7, h(4) = 5, h'(0) = -2, h'(2) = 3, and h'(4) = -1

Evaluate

lim h(w)&#8722;1
w&#8594;0 ¯¯¯w¯¯¯

and this was the response:

lim h(w)&#8722;1
w&#8594;0 ¯¯¯w¯¯¯

= lim h(w)&#8722;1
w&#8594;0 ¯¯¯w-0¯¯¯

= h'(0)

= -2

sorry, but I need to have each step explained, especially how you got h'(0) - thanks

##### Solution Summary

A derivative is investigated.

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