If y=ex⋅cot⁡x then dydx will be 

 If y=excotx then dydx will be 

  1. A

    excotxcosec2x

  2. B

    excosec2x

  3. C

    excotxcosec2x

  4. D

    excotx

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    Solution:

    y=excotxdydx=exddxcotx+cotxdexdx duvdx=udvdx+vdudx=excosec2x+cotxex ddxcotx=cosec2xdexdx=ex=cosec2xex+excotx

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