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[" 25.The value of "(d^(2)x)/(dy^(2))" e...

[" 25.The value of "(d^(2)x)/(dy^(2))" equals "],[[" a) "((d^(2)y)/(dx^(2)))^(-1)," b) "-((d^(2)y)/(dx^(2)))^(-1)*(dy)/(dx)],[" c) "((d^(2)y)/(dx^(2)))*((dy)/(dx))^(-2)," d) "-((d^(2)y)/(dx^(2)))^(-1)*((dy)/(dx)]]

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(d^(2)x)/(dy^(2)) equals a. ((d^(2)y)/(dx^(2)))^(-1) b. -((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(-3) c. ((d^(2)y)/(dx^(2)))((dy)/(dx))^(-2) d. -((d^(2)y)/(dx^(2)))((dy)/(dx))^(-3)

(d^(2)x)/(dy^(2)) equals: (1)((d^(2)y)/(dx^(2)))^(-1) (2) -((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(-3)(3)-((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(-2)(4)-((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(3)

(d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-3) (3) ((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-2) (4) -((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-3)

(d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-3) (3) ((d^2y)/(dx^2))^(-1)((dy)/(dx))^(-2) (4) -((d^2y)/(dx^2))((dy)/(dx))^(-3)

x(d^(2)y)/(dx^(2))+(dy)/(dx)+x=0

(d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^-3 (3) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^-2 (4) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^3

((d^(2)y)/(dx^(2)))^(2) + cos ((dy)/(dx)) = 0

(d^2x)/(dy^2) equals: (1.) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2)) ((dy)/(dx))^-3 (3) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^-2 (4) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^3

If e^(y)(x+1)=1 ,show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2)