SOLUTION: Please help with this calculus max and min question Find the absolute maximum and absolute minimum values of f on the given interval. (Round all answers to two decimal places.)

Question 1155999: Please help with this calculus max and min question
Find the absolute maximum and absolute minimum values of f on the given interval. (Round all answers to two decimal places.)
f(x) = x(e^-x^2/98)
[-4, 14]
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

[,]

derivate to find critical points:

'

equal to zero:

......since will be equal to zero if

or

=> solution does not exist

=> or

both solutions are in given interval
use second derivative test to determine at what point is maximum and minimum:
''

if

=> negative, so at is a

if
=> positive, so at is a min

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