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Question

If y=tan1(secxtanx), then dydx is equal to:

A
2
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B
2
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C
12
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D
12
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Solution

The correct option is B 12
y=tan1(secxtanx)

dydx=11+(secxtanx)2(secxtanxsec2x), Chain rule

=secx(tanxsecx)1+sec2x2secxtanx+tan2x

=secx(tanxsecx)2sec2x2secxtanx=12

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