`(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)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^(2)y)/(dx^(2))+(dy)/(dx)+y=(1-e^(x))^(2)

If x=log pandy=(1)/(p), then (a) (d^(2)y)/(dx^(2))-2p=0 (b) (d^(2)y)/(dx^(2))+y=0 (c) (d^(2)y)/(dx^(2))+(dy)/(dx)=0( d) (d^(2)y)/(dx^(2))-(dy)/(dx)=0

If R=([1+((dy)/(dx))^2]^(3//2))/((d^2y)/(dx2)) , thenR^(2//3) can be put in the form of 1/(((d^2y)/(dx^2))^(2//3))+1/(((d^2x)/(dy^2))^(2//3)) b. 1/(((d^2y)/(dx^2))^(2//3))-1/(((d^2x)/(dy^2))^(2//3)) c. 2/(((d^2y)/(dx^2))^(2//3))+2/(((d^2x)/(dy^2))^(2//3)) d. 1/(((d^2y)/(dx^2))^(2//3))dot1/(((d^2x)/(dy^2))^(2//3))

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

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

if (x-a)^(2)+(y-b)^(2)=c^(2) then (1+((dy)/(dx))^(2))/((d^(2)y)/(dx^(2)))=?

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

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