y=5x/x^2-16

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Solution for y=5x/x^2-16 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

y = (5*x)/(x^2)-16 // - (5*x)/(x^2)-16

y-((5*x)/(x^2))+16 = 0

y-5*x^-1+16 = 0

-5*x^-1 = -(y+16) // : -5

x^-1 = (y+16)/5

-1 < 0

1/(x^1) = (y+16)/5 // * x^1

1 = x^1*((y+16)/5) // : (y+16)/5

5*(y+16)^-1 = x^1

x = 5*(y+16)^-1

x = 5*(y+16)^-1

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