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"If "e^(sin(x^(2)+y^(2)))=tan""(y^(2))/(...

`"If "e^(sin(x^(2)+y^(2)))=tan""(y^(2))/(4)+sin^(-1)x," then y'(0) can be "`

A

`(1)/(3sqrt(pi))`

B

`-(1)/(3sqrt(pi))`

C

`-(1)/(5sqrt(pi))`

D

`-(1)/(3sqrt(5pi))`

Text Solution

AI Generated Solution

To solve the problem, we start with the given equation: \[ e^{\sin(x^2 + y^2)} = \frac{10y^2}{4} + \sin^{-1}(x) \] We need to find \( y'(0) \). ...
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