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If yetanxthendydxy=e12log(1+ tan2x),then dydx is equal to ____________. -

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Question

If `"y" = "e"^(1/2log (1 +  "tan"^2"x")), "then"  "dy"/"dx"` is equal to ____________.

Options

  • `1/2  "sec"^2  "x"`

  • `"sec"^2  "x"`

  • sec x tan x

  • `"e"^(1/2log (1 +  "tan"^2"x"))`

MCQ
Fill in the Blanks

Solution

If `"y" = "e"^(1/2log (1 +  "tan"^2"x")), "then"  "dy"/"dx"` is equal to sec x tan x.

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