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Find derivatives of the following functi...

Find derivatives of the following functions.
`sec^(-1)(2x+1)`

Text Solution

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`y=sec^(-1)(2x+1)`
`dy/dx=1/((2x+1)sqrt(2x+1)^2-1).d/dx(2x+1)`
`[becaused/dx(sec^(-1)u)=1/(|u|sqrt(u^2-1)).(du)/dx`
`2/((2x+1)sqrt(4x^2+4x))=1/((2x+1)sqrt(x^2+x))`
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