z=(5x^4y)/x^5

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Solution for z=(5x^4y)/x^5 equation: 


D( x )

x^5 = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

x = 0

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

z = (5*x^4*y)/(x^5) // - (5*x^4*y)/(x^5)

z-((5*x^4*y)/(x^5)) = 0

z-5*x^-1*y = 0

-5*x^-1*y = -z // : -5*y

x^-1 = (1/5)*y^-1*z

-1 < 0

1/(x^1) = (1/5)*y^-1*z // * x^1

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

5*y*z^-1 = x^1

x = 5*y*z^-1

x = 5*y*z^-1

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