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Find and simplify the difference quotient f(x+h)-f(x)/h. f(x)=x^2

Chloe061

by Chloe061 at August 29, 2010

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This is related to Calculus as a way to find an instantaneous slope.  f(x+h) is (x+h)^2 = x^2 +2xh + h^2.  f(x) is x^2.  The difference is 2xh +h^2.  If you divide this by h you get 2x +h.  As h approaches zero, the result (in the limit as they say) is 2x.  Unless someone said to let h approach zero leave it as 2x + h.

kroo_jteague kroo_jteague August 29, 2010

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