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Differentiate tan^(-1) e^(2x)...

Differentiate
`tan^(-1) e^(2x)`

Text Solution

Verified by Experts

`y = tan^(-1) (e^(2x))
dy/dx = 1/(1+(e^(2x)^)^2) cdot d/dx(e^(2x))
= 1/(1+e^(4x)).2e^(2x) ={2e^(2x)}/(1+e^(4x))`
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