Question

Consider the following. y = 1/2 x2 - x a) find y' = f '(x). f '(x) = _______ (b) Find the critical value. (c) Find the critical point. (x,y)= (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusions with a graphing utility. (If an answer does not exist, enter DNE.) relative maxima (x,y) = relative minima (x,y) = horizontal point of inflection (x,y) =

          Consider the following. 
y = 1/2 x2 - x 
a) find y' = f '(x).
f '(x) = _______
(b) Find the critical value.
(c) Find the critical point. (x,y)=
(d) Find intervals of x-values where the function
is increasing. (Enter your answer using interval
notation.) 
Find intervals of x-values where the function is
decreasing. (Enter your answer using interval notation.) 
(e) Classify the critical point as a relative maximum, a
relative minimum, or a horizontal point of inflection. In each
case, check your conclusions with a graphing utility. (If an answer
does not exist, enter DNE.) 
relative maxima (x,y) = 
relative minima (x,y) =
horizontal point of inflection (x,y) =

Added by Edward V.

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