Question 1202652
Given f(x) = x^2 +3, find and simplify the difference quotient ([f(x+h) - f(x)])/h.
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f(x) = x^2 +3
f(x+h) = (x+h)^2 + 3 = x^2 + 2hx + h^2 + 3
Subtract f(x)
---> x^2 + 2hx + h^2 + 3 - (x^2+3) = 2hx + h^2
Divide by h ---> 2x + h