Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x8 ln(x)

Consider the equation below. (If an answer does not exist, enter DNE.)

f(x) = x⁸ ln(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.

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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