Hi how are things? Can someone tell me a software to find the minimum or maximum of this equation. It is a parameterized equation with a single variable x. In another word find the exact or approximate roots of this equation.
Copyable Plain Text:
-a b e^(-a x^b) x^(b - 1) + 1/8 (-a b e^(-a x^b) x^(b - 1) (1 - e^(-c(1 - x)^b)) - b c e^(-c(-x + 1)^b - a x^b) (-x + 1)^(b - 1))=0
Wolfram Language code:
-((a b x^(b - 1))/E^(a x^b)) + (1/8) (-((a b x^(b - 1) (1 - E^(-c[1 - x]^b)))/E^(a x^b)) - b c E^(-c[-x + 1]^b - a x^b) (-x + 1)^(b - 1))=0