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If y=(2x)^(sec x) +(tan x)^(x) ,then(dy)...

If` y=(2x)^(sec x) +(tan x)^(x) ,then(dy)/(dx)=`

A

` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +2(secx )^(2x) (xtan x+log(sec x)) `

B

` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +2(secx )^(2x) (tan x+log(sec x)) `

C

` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +(secx )^(2x) (xtan x+log(sec x)) `

D

` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +(secx )^(2x) (tan x+log(sec x)) `

Text Solution

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The correct Answer is:
A
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