If y=sec x -tan x ,then (d^(2)y)/(dx^(2...

If ` y=sec x -tan x ,then (d^(2)y)/(dx^(2))` =

A

` (1)/(4) sec ^(2) ((pi)/(4)- ( x)/(2) ) tan ((pi)/(4)-( x)/(2))`

B

` (-1)/(4) sec ^(2) ((pi)/(4)- ( x)/(2) ) tan ((pi)/(4)-( x)/(2))`

C

` (1)/(2) sec ^(2) ((pi)/(4)- ( x)/(2) ) tan ((pi)/(4)-( x)/(2))`

D

` (-1)/(2) sec ^(2) ((pi)/(4)- ( x)/(2) ) tan ((pi)/(4)-( x)/(2))`

Text Solution

Verified by Experts

The correct Answer is:

C

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If y= e^(2x) tan x ,then ( d^(2)y)/(dx^(2))=

A

` e^(2x)(1+tan x)( 2+tan x +tan ^(2)x)`

B

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A

`(tan sqrt xsec ^(2) sqrtx sec (tan sqrtx ))/( 2sqrtx) `

B

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If y sec x+ tan x +x^2 y=0 , then (dy)/(dx) =

A

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B

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D

None of these

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