You can put this solution on YOUR website! Find the difference quotient f(x+h)-f(x)over h for 2-x^2
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f(x+h) = 2 - (x+h)^2
f(x+h) = 2 -x^2-2hx-h^2
f(x) = 2 - x^2
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f(x+h)-f(x) = -2hx-h^2
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[f(x+h)-f(x)]/h = -2x-h
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Cheers,
Stan H.