Suppose that f is a function given as f(x) = x² + 2x + 3. Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x + h) − f(x) = h f(x + h) − f(x) h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f'(x) = lim = h→0 f(x + h) − f(x) h

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