Answer
0
Work Step by Step
$f(x) = -x^3+6x^2+x$
Evaluate f(x) at x= 1 and 6
$f(5) = -6^3+6(6)^2+6=6$
$f(1) = -1^3+6(1)^2+1=6$
Average slope between these points : (f(5)-f(1))/(6-1) = 0/5 = 0
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