A find the critical points if any of the following function

A find the critical points, if any, of the following function on the given interval.
B determine the absolute extreme values of f on the given interval.
C use a graphing utility to confirm your conclusions.

f(x)=4x^3e^-x,[-1,4]

y\' = 12x² e^-x - 4x³ e^-x = 0

12x*x - 4x*x*x = 0

x = 0 x = 3

at x=0 : 0

x = 3 : 108e^-3 = 5.41

check at end points : x =-1 : -4e

x = 4 : 256e^-4 = 4.725

absolute maxima : x=3 : y= 108e^-3

absolue minima : x = -1 y = -4e

A find the critical points, if any, of the following function on the given interval. B determine the absolute extreme values of f on the given interval. C use a

A find the critical points if any of the following function

Solution

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