Find the absolute maximum and absolute minimum values of f on the given interval.

Question

f(x) = xe^((−x^2)/98), [−6, 14]

Answer 1

f ' (x) = x( xe^((−x^2)/98)(-2x/98) + e^((−x^2)/98)
= e^((−x^2)/98) ( -x^2/49) + 1)
= 0 for a max/min

-x^2/49 +1 = 0
x^2 = 49
x = ± 7

evaluate
f(7)
f(-7)
f(-6)
f(14)
and determine which is the largest and which is the smallest