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Question

ddx(sec2x+cosec2x)=

A
4secxtanxcosecxcotx
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B
4secxcosecx
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C
2secxtanx2cosecxcotx
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D
2sec2tanx2cosec2xcotx
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Solution

The correct option is D 2sec2tanx2cosec2xcotx
Let, f(x)=sec2+cosec2x

ddxf(x)=2secx.secxtanxcosex2x+sec2x2cosexx(cosec xcotx)

=2sec2xtanx2cosec2xcotx

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