Suppose that f is a function given as f(x) = Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x+h)-f(x) h -2x + 7. f(x+h)-f(x) h Rationalize the numerator in the difference quotient. (If applies, simplify again.) f(x+h)-f(x) h The derivative of the function at a is the limit of the difference quotient as h approaches zero. f(x+h)-f(x) f'(x) =lim h 0 h

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