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Question

If y=log(secx+tanx), then dydx=

A
secx
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B
1secx+tanx
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C
log(cosx+sec2x)
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D
none of these
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Solution

The correct option is A. secx

y=log(secx+tanx)

dydx=1secx+tanx(secx+tanx)
=1secx+tanx(secxtanx+sec2x)
=1secx+tanxsecx(tanx+secx)=secx

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