Suppose that ƒ is a function given as f(x) = √−3x+5. 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 Rationalize the numerator in the difference quotient. (If applies, simplify again.) 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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