Miscellany
public text v1 · immutablewe know that f(x) = 1 / (1 + e^(-2x)). find f'(x).
= (1 + e^(-2x))^-1
-1 * (1 + e^(-2x))^-2 * (0 + e^(-2x)*-2) : power rule -> chain rule.
= 2 * e^(-2x) / (1 + e^(-2x))^2 : rewrite
-slimwe know that f(x) = 1 / (1 + e^(-2x)). find f'(x).
= (1 + e^(-2x))^-1
-1 * (1 + e^(-2x))^-2 * (0 + e^(-2x)*-2) : power rule -> chain rule.
= 2 * e^(-2x) / (1 + e^(-2x))^2 : rewrite
-slim