Find the critical numbers of f (if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. f(x) = x5 5 − ln⁡x Critical numbers: (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Increasing: (Select all that apply. ) none of these (0, 1) (1, ∞) (−∞, 0) (0, ∞) Decreasing: (Select all that apply. ) (−∞, 0) (0, 1) (0, ∞) (1, ∞) none of these Relative extrema: (If an answer does not exist, enter DNE. ) relative maximum (x, y) = ( ) relative minimum (x, y) = ( )

Find the critical numbers of f (if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. f(x) = x5 5 − ln⁡x Critical numbers: (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Increasing: (Select all that apply. ) none of these (0, 1) (1, ∞) (−∞, 0) (0, ∞) Decreasing: (Select all that apply. ) (−∞, 0) (0, 1) (0, ∞) (1, ∞) none of these Relative extrema: (If an answer does not exist, enter DNE. ) relative maximum (x, y) = ( ) relative minimum (x, y) = ( )

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Find the critical numbers of f (if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results.
f ( x ) = x 5 5 ln x
Critical numbers: (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
x =
Increasing: (Select all that apply.) none of these ( 0 , 1 ) ( 1 , ) ( , 0 ) ( 0 , )
Decreasing: (Select all that apply.) ( , 0 ) ( 0 , 1 ) ( 0 , ) ( 1 , ) none of these
Relative extrema: (If an answer does not exist, enter DNE.) relative maximum ( x , y ) = ( ) relative minimum ( x , y ) = ( )

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