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"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "...

`"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y_(2)+xy_(1)` is (where `y_(r)` represents the rth derivative of y w.r.t. x)

A

`m^(2)y`

B

`my^(2)`

C

`m^(2)y^(2)`

D

none of these

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AI Generated Solution

To solve the problem, we start with the equation given: \[ y^{\frac{1}{m}} = x + \sqrt{1 + x^2} \] ### Step 1: Rewrite the equation First, we can rewrite the equation in a more manageable form: ...
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