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D( x )
4*x^2-(7*x) <= 0
4*x^2-(7*x) <= 0
4*x^2-(7*x) <= 0
4*x^2-7*x <= 0
4*x^2-7*x <= 0
DELTA = (-7)^2-(0*4*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+7)/(2*4) or x = (7-49^(1/2))/(2*4)
x = 7/4 or x = 0
a = 4
a > 0
x in <0:7/4>
x in (-oo:0) U (7/4:+oo)
((1/2)*(ln(4*x^2-(7*x)))^7)/6 = 0
((1/2)*(ln(4*x^2-7*x))^7)/6 = 0
t_1 = ln(4*x^2-7*x)
((1/2)*t_1^7)/6 = 0
1/12*t_1^7 = 0 // : 1/12
t_1^7 = 0
t_1 = 0
ln(4*x^2-7*x) = 0
ln(4*x^2-7*x) = ln(e^0)
4*x^2-7*x = e^0
4*x^2-7*x-e^0 = 0
4*x^2-7*x-1 = 0
DELTA = (-7)^2-(-1*4*4)
DELTA = 65
DELTA > 0
x = (65^(1/2)+7)/(2*4) or x = (7-65^(1/2))/(2*4)
x = (65^(1/2)+7)/8 or x = (7-65^(1/2))/8
x in { (7-65^(1/2))/8, (65^(1/2)+7)/8 }
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