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Differentiate e^(tanx) with respect to x...

Differentiate `e^(tanx)` with respect to `x` :

Text Solution

Verified by Experts

Given that,
`y=e^(tanx)`
`(dy)/(dx)=tanx*e^(tanx)*(dx)/(dx)(tanx)`
`(dy)/(dx)=tanx*e^(tanx)*sec^2 x`

Answer is:
`(dy)/(dx)=tanx*e^(tanx)*sec^2 x`

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