(3x-4)*e^(1/(3x-4))

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Solution for (3x-4)*e^(1/(3x-4)) equation: 


D( x )

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

x in (-oo:4/3) U (4/3:+oo)

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

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

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

x należy do O

(3*x-4)*e^(1/(3*x-4)) = 0  <=>  3*x-4 = 0 or (3*x-4)*e^(1/(3*x-4)) = 0  <=>  e^(1/(3*x-4)) = 0

x in { 4/3} 

x belongs to the empty set

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