Question

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^7ln(x) (a)...

Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x^7ln(x)
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
  

Find the interval on which f is decreasing. (Enter your answer using interval notation.)
  

(b) Find the local minimum and maximum values of f.
local minimum value
local maximum value

(c) Find the inflection point.
(x, y) =

  


Find the interval on which f is concave up. (Enter your answer using interval notation.)
  

Find the interval on which f is concave down. (Enter your answer using interval notation.)

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