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Differentiate. sec^(-1)(e^x+x)...

Differentiate.
`sec^(-1)(e^x+x)`

Text Solution

Verified by Experts

`y=sec^(-1)(e^x+x)`
`dy/dx=1/(|e^x+x|sqrt((e^x+x)^2-1))xxd/dx(e^x+x)`
`=(e^x+1)/(|e^x+x|sqrt((e^x+x)^2-1))`
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