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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(16*x)/30 = 7/x // - 7/x
(16*x)/30-(7/x) = 0
(16*x)/30-7*x^-1 = 0
8/15*x^1-7*x^-1 = 0
(8/15*x^2-7*x^0)/(x^1) = 0 // * x^2
x^1*(8/15*x^2-7*x^0) = 0
x^1
(8/15)*x^2-7 = 0
(8/15)*x^2-7 = 0
DELTA = 0^2-(-7*4*(8/15))
DELTA = 224/15
DELTA > 0
x = ((224/15)^(1/2)+0)/(2*(8/15)) or x = (0-(224/15)^(1/2))/(2*(8/15))
x = 15/16*(224/15)^(1/2) or x = 15/16*(224/15)^(1/2)
x in { 15/16*(224/15)^(1/2), 15/16*(224/15)^(1/2)}
x in { 15/16*(224/15)^(1/2), 15/16*(224/15)^(1/2) }
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