Consider the graph of f(x) below. Suppose f is on ly defined on the interval (-3

Question

Consider the graph of f(x) below. Suppose f is only defined on the interval (-3, 3)

(b) Moving from left to right, what is the first valuexfor which the derivativef'(x) is equal to 0? If no suchxexists, write "DNE".

Still moving from left to right, what is the second valuexfor which the derivativef'(x) is equal to 0? If no suchxexists, write "DNE".


(c) Write the endpoints of the largest interval on which the derivativef'(x) exists and is positive:
(,)

(d) Write the endpoints of the largest interval on which the derivativef'(x) exists and is negative:
(,)

Explanation / Answer

a) x=-1,x=1 dne
b)x=0 dne
c)(-,-1),(1,)

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