# : Let f (x) = x3 – 7x. Find all numbers c in the interval (-2, 0) for which the line tangent to the graph

: Let f (x) = x3 – 7x.
Find all numbers c in the interval (-2, 0) for which the line tangent to the graph of f
is parallel to the line joining (-2, f (-2)) and (0, f (0)).
How many such numbers exist in the given interval?
O 1
O 2
O 3
Enter the numbers in increasing order, with the smallest first. (The smallest is negative!) Enter DNE in any extra answer blanks.
C =
C =
symbolic formatting

(550 words)

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