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Consider the following. y= %xz -x (a) Find y' = f'(x). f)=|y =x-1 Your answer(s) should be in the form of expression(s). (b) Find the

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Consider the following. y= %xz -x (a) Find y' = f'(x). f)=|y =x-1 Your answer(s) should be in the form of expression(s). (b) Find the critical value. Good job! v (c) Find the critical point. x, ) =( 1,0.5 x ) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) 1,00 A Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) ==oo ] X (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) =( 1.=05 ) X relative minima (4 y)=| | dne ( .0 horizontal point of inflection (x, y) = ( dne ) v

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