Posted by lana on Tuesday, June 16, 2009 at 2:00pm.
The maximum is where the first derivative is zero, provided the second derivative is negative there.
Solve the equation
f'(x) = -x^2 +6x -5 = 0
-(x-5)(x-1) = 0
x = 5 and x = 1 are either maxima or minima. Use the second derivative test to see which is which.
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