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  3. consider the equation below. (if an answer does no

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e^(3x) + e^(−x) (a) Find...

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Question

Basic Math

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

f(x) = e^(3x) + e^(−x)

(a)

Find the interval on which f is increasing. (Enter your answerusing interval notation.)

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

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

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