Let f (x) = x3 − 7x.Find all numbers c in the interval (-3, 0) for which the line tangent to the graph of fis parallel to the line joining (−3, f (−3)) and (0, f (0)). How many such numbers exist in the given interval? Enter the numbers in increasing order, with the smallest first. (The smallest is negative!) Enter DNE in any extra answer blanks.
Let f (x) = x3 − 7x.Find all numbers c in the interval (-3, 0) for which the line tangent to the graph of fis parallel to the line joining (−3, f (−3)) and (0, f (0)). How many such numbers exist in the given interval? Enter the numbers in increasing order, with the smallest first. (The smallest is negative!) Enter DNE in any extra answer blanks.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f (x) = x3 − 7x.
Find all numbers c in the interval (-3, 0) for which the line tangent to the graph of f
is parallel to the line joining (−3, f (−3)) and (0, f (0)).
Find all numbers c in the interval (-3, 0) for which the line tangent to the graph of f
is parallel to the line joining (−3, f (−3)) and (0, f (0)).
How many such numbers exist in the given interval?
Enter the numbers in increasing order, with the smallest first. (The smallest is negative!) Enter DNE in any extra answer blanks.
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