<PRE><B>Question 140705</B>
derivative. for given: Y=x^2-4X+5
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limit as h goes to zero of [f(x+h)-f(x)]/[h]
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f(x+h) = (x+h)^2-4(x+h)+5
= x^2+2hx+h^2-4x-4h+5
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f(x+h)-f(x) = 2hx+h^2-4h
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[f(x+h)-f(x)]/[h] = 2x+h-4
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limit as h goes to zero is 2x-4 (this is the derivative you want)
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Cheers,
Stan H.

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