3x^5/4-x^-7/4

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Solution for 3x^5/4-x^-7/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(3*x^5)/4-((x^-7)/4) = 0

3/4*x^5-1/4*x^-7 = 0

1/4*x^5*(3-x^-12) = 0

-1*x^-12 = -3 // : -1

x^-12 = 3

-12 < 0

1/(x^12) = 3 // * x^12

1 = 3*x^12 // : 3

1/3 = x^12

x^12 = 1/3 // ^ 1/12

abs(x) = (1/3)^(1/12)

x = (1/3)^(1/12) or x = -(1/3)^(1/12)

(x^5)/4 = 0

1/4*x^5 = 0 // : 1/4

x^5 = 0

x = 0

x in { 0} 

x in { (1/3)^(1/12), -(1/3)^(1/12) }

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