Question

2) Use calculus and algebra to find the equation of the tangent line to $y = \frac{2}{1 + e^{-x}}$ at $x = 0$. Put your final answer in slope intercept form. Be sure to show ALL steps.

Name: 2) Use calculus and algebra to find the equation of the tangent line to y = (2)/(1 + e^-x) at x = 0. Put your final answer in slope intercept form. Be sure to show ALL steps.
Uploaded: 2023-04-07T20:07:04-08:00
Duration: 1 min 20 s
Channel: Zhumagali Shomanov
Description: 2) Use calculus and algebra to find the equation of the tangent line to y = (2)/(1 + e^-x) at x = 0. Put your final answer in slope intercept form. Be sure to show ALL steps.

          2) Use calculus and algebra to find the equation of the tangent line to $y = \frac{2}{1 + e^{-x}}$ at $x = 0$. Put your final answer in slope intercept form. Be sure to show ALL steps.

2) Use calculus and algebra to find the equation of the tangent line to y = (2)/(1 + e^-x) at x = 0. Put your final answer in slope intercept form. Be sure to show ALL steps.

Added by Trinidad G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

04/07/2023

Step 1

y = 2/(1+e^(-x)) y' = (2(1+e^(-x)) - 2(-e^(-x)))/(1+e^(-x))^2 = (2 + 2e^(-x) + 2e^(-x))/(1+e^(-x))^2 = (2 + 4e^(-x))/(1+e^(-x))^2 Show more…

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Use calculus and algebra to find the equation of the tangent line to y=(2)/(1+e^(-x)) at x=0. Put your final answer in slope intercept form. Be sure to show ALL steps. 2 final answer in slope intercept form. Be sure to show ALL steps.