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Let y=e^x s in x^3+(t a n x)^xdotF in d(...

Let `y=e^x s in x^3+(t a n x)^xdotF in d(dy)/(dx)dot`

A

`e ^(x sin (x^(3)))[3x ^(3) cos (x ^(3))+sin (x ^(3)) ]+ (tan x) ^(x) [ln tan x+ 2x cosec 2x ]`

B

`e ^(x sin (x ^(3)))[x ^(3) cos (x ^(3))+ sin (x ^(3))]+ (tan x )^(x) [ln tan x+ 2x cosec 2x]`

C

`e ^(x sin ( x ^(3)))[x ^(3) sin (x ^(3))+sin (x ^(3))]+(tan x ) ^(x) [ln tan x+2 cosec 2x]`

D

`e ^(xsin (x ^(3)))[3x ^(3) cos (x ^(3))+sin (x ^(3))]+(tan x )^(x) [ln tan x+ (x sec ^(2))/(tan x )]`

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The correct Answer is:
A, D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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