How do you find the derivative of #y=1/(1+e^x)#?

Question

How do you find the derivative of #y=1/(1+e^x)#?

1 Answer

Impact of this question

54940 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-22T01:07:26

#dy/dx=-e^x(1+e^x)^-2#

Explanation:

Differentiate using the chain rule
Given #y=f(g(x))#
#dy/dx=f'(g(x))*(g'(x)) larr#chain rule
#y=(1+e^x)^-1#
#dy/dx=(-(1+e^x)^-2)*e^x#
#=-e^x/(1+e^x)^2#

Science

Math

Humanities

... and beyond

How do you find the derivative of #y=1/(1+e^x)#?

1 Answer

Explanation:

Related questions

Impact of this question