For what values of the numbers (a) and (b) does the function (f(x) = axeᵇx²)) have the maximum value (f(8) = 1)?
(a) (a = 1, b = -1)
(b) (a = -1, b = 1)
(c) (a = 1, b = 1)
(d) (a = -1, b = -1)