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Given that y=e^(tanx), find (dy)/(dx)....

Given that `y=e^(tanx)`, find `(dy)/(dx)`.

A

`e^(tanx)sec^(2)x`

B

`e^(x)sec^(2)x`

C

`e^(tanx)`

D

`e^(tanx)secx`

Text Solution

Verified by Experts

The correct Answer is:
A
Using formula (vi)
`(dy)/(dx)=(d)/(dx)[e^(tanx)]=e^(tanx)(d)/(dx)(tanx)`
`=e^(tanx)sec^(2)x`
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