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If y=(3x-4)/(x+2) (x ne -2), verify the ...

If `y=(3x-4)/(x+2) (x ne -2)`, verify the relation `(dy)/(dx)=(1)/((dx)/(dy)).`

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(dy)/(dx)=(y-x)^(2)

(dy)/(dx)=(x+y)/(2(x+y)+3)

(dy)/(dx)=(3x+2y)/(2x-3y)

(dy)/(dx)=(2x+3y)/(3x+2y)

(dy)/(dx)=(2x-3y)/(3x-2y)

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

(y-x(dy)/(dx))=a(y^(2)+(dy)/(dx))

(dy)/(dx)=(3x+4y+1)/(-4x+2y-3)

(dy)/(dx)=(2x-3y+4)/(3x+4y-5)

solve (dy)/(dx)=(x+y)^(1/3)