- #1
Wm_Davies
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Homework Statement
Consider the function f(x)=2x^3−12x^2−72x+6 on the interval [−4,7] . Find the average or mean slope of the function on this interval.
Homework Equations
MEAN VALUE THEOREM
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex]
The Attempt at a Solution
When I set this problem up in the mean value theorem I found that
6c^2 - 24c - 72 = (-400+26)/(11)
Finally giving me
6c^2 - 24c -38 = 0
Solving with the quadriatic equation I got
[tex]2\pm\frac{\sqrt93}{3}[/tex]
Which I know is correct, but the program says it is not correct so maybe the question is not asking for me to do this...?