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XXXXXXXXXXIntegrate 15. Find the derivative of y = 16. Find the derivative of y =

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XXXXXXXXXXIntegrate
15. Find the derivative of y =
16. Find the derivative of y =
Answered Same Day Dec 23, 2021

Solution

Robert answered on Dec 23 2021
128 Votes
14. Integrate
Let ex + e-x = p
So, (ex - e-x) dx = dp
I = ∫dp/p = ln p + k = ln(ex + e-x) + k
15. Find the derivative of y =
Applying chain rule, we get
dy/dx = (1-ex)/(1+ex)[(1-ex)ex – (1+ex)(-ex)]/(1-ex)2 = 2ex/(1-e2x)
16. Find the derivative of y =
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