Question: Let f ( x ) = 2x + 1 x 3 . For this problem, use the following definition of the derivative, f ( a

Let f(x)=2x + 1x3. For this problem, use the following definition of the derivative,f(a)=limxaf(x)f(a) x->a

a. Set up the difference quotient (do not simplify), Iim

x-> a

b. The numerator of the difference quotient when simplified into a single fraction becomes

c. Before taking the limit, and after simplifying, the difference quotient expression becomes lim

x->a

d. Taking the limit, we have that f'(a) =

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