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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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