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

Dixie Blake

Dixie Blake

Answered question

2023-03-16

How to find the derivative of y = 1 1 + e x ?

Answer & Explanation

Joselyn Arias

Joselyn Arias

Beginner2023-03-17Added 5 answers

d y d x = - e x ( 1 + e x ) - 2
Explanation:
Differentiate using the chain rule
Given y = f ( g ( x ) )
d y d x = f ( g ( x ) ) ( g ( x ) ) chain rule
y = ( 1 + e x ) - 1
d y d x = ( - ( 1 + e x ) - 2 ) e x
= - e x ( 1 + e x ) 2

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