Logistic Regression

Consider training data ((x;, y;))i=1..". where x; e IR. and y; e (0, 1). Consider the logistic data model y = o(0 . x), where x c IR", O E Rd, and o is the logistic function o (z) = =/(e# + 1). (a) Show that o'(z) = o(z)(1 -o(z))