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Question 140
Find d2ydx2 in terms of x and y. \text { Find } \frac { d ^ { 2 } y } { d x ^ { 2 } } \text { in terms of } x \text { and } y \text {. } Find dx2d2y in terms of x and y. x2+y2=6x ^ { 2 } + y ^ { 2 } = 6x2+y2=6
A) d2ydx2=(−xy) 2\frac { d ^ { 2 } y } { d x ^ { 2 } } = \left( - \frac { x } { y } \right) ^ { 2 }dx2d2y=(−yx) 2 B) d2ydx2=−6y2\frac { d ^ { 2 } y } { d x ^ { 2 } } = - \frac { 6 } { y ^ { 2 } }dx2d2y=−y26 C) d2ydx2=x2y+yy2\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { \frac { x ^ { 2 } } { y } + y } { y ^ { 2 } }dx2d2y=y2yx2+y D) d2ydx2=(−yx) 2\frac { d ^ { 2 } y } { d x ^ { 2 } } = \left( - \frac { y } { x } \right) ^ { 2 }dx2d2y=(−xy) 2 E) d2ydx2=−x2y+yy2\frac { d ^ { 2 } y } { d x ^ { 2 } } = - \frac { \frac { x ^ { 2 } } { y } + y } { y ^ { 2 } }dx2d2y=−y2yx2+y
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