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

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attached questions - 14.Integrate 15.Find the derivative of y = 16.Find the derivative of y =
attached questions - 14.Integrate 15.Find the derivative of y =


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14. Integrate ex-e-xex+e-xdx 15. Find the derivative of y = ln1+ex1-ex 16. Find the derivative of y = xx-1






14. Integrate 15. Find the derivative of y = 16. Find the derivative of y =
Answered Same DayDec 23, 2021

Answer To: XXXXXXXXXXIntegrate 15. Find the derivative of y = 16. Find the derivative of y =

Robert answered on Dec 23 2021
125 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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