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If x ^ 2 + y^ 2 + sin y = 4 ,...

If ` x ^ 2 + y^ 2 + sin y = 4 , ` then the value of ` | (d^ 2 y ) /( dx ^ 2 ) | ` at point ` ( -2, 0 ) ` is …..

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The correct Answer is:
34
`x^(2) + y^(2) + sin y =4, 2x + 2y (dy)/(dx) + cos y (dy)/dx) = 0`
` at ( - 2,0) : 4 + 0 + 1. (dy)/(dx) = 0 " "rArr " " (dy)/(dx) = 4`
`2 + 2 ((dy)/(dx))^(2) + 2y(d^(2) y)/(dx^(2)) - sin y. ((dy)/(dx))^(2) + cos y (d^(2) y)/(dx^(2)) = 0 `.
`(d^(2)y)/(dx^(2)) = - 34 " " rArr " " | (d^(2)y)/(dx^(2))| = 34`
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