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If y = sec x + xlogx, then dydxdydx is -

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Question

If y = sec x + xlogx, then `"dy"/"dx"` is

Options

  • sec x tan x + `2/x` log x · (xlogx)

  • `sec^2 x + x/2 log x`

  • `sec^2 x + 2/x log x`

  • sec x tan x + `1/x` log x

MCQ

Solution

sec x tan x + `2/x` log x · (xlogx)

Explanation:

y = sec x + xlogx

∴ `"dy"/"dx"` = sec x tan x + `"d"/"dx"`(xlogx)

`=> "dy"/"dx"` = sec x tan x + `2/x` log x (xlogx)

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Solution of a Differential Equation
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