y=12/(3-2e^-4x)

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Solution for y=12/(3-2e^-4x) equation:


D( x )

3-(2*e^-4*x) = 0

3-(2*e^-4*x) = 0

3-(2*e^-4*x) = 0

3-2*e^-4*x = 0

3-2*e^-4*x = 0 // - 3

-2*e^-4*x = -3 // : -2*e^-4

x = -3/(-2*e^-4)

x in (-oo:-3/(-2*e^-4)) U (-3/(-2*e^-4):+oo)

y = 12/(3-(2*e^-4*x)) // - 12/(3-(2*e^-4*x))

y-(12/(3-(2*e^-4*x))) = 0

y-12*(3-2*e^-4*x)^-1 = 0

y-12/(3-2*e^-4*x) = 0

(y*(3-2*e^-4*x))/(3-2*e^-4*x)-12/(3-2*e^-4*x) = 0

y*(3-2*e^-4*x)-12 = 0

3*y-2*e^-4*x*y-12 = 0

(3*y-2*e^-4*x*y-12)/(3-2*e^-4*x) = 0

(3*y-2*e^-4*x*y-12)/(3-2*e^-4*x) = 0 // * 3-2*e^-4*x

3*y-2*e^-4*x*y-12 = 0

3*y-2*e^-4*x*y-12 = 0 // - 3*y-12

-2*e^-4*x*y = -(3*y-12) // : -2*e^-4*y

x = (-(3*y-12))/(-2*e^-4*y)

x = (12-(3*y))/(-2*e^-4*y)

x = (12-(3*y))/(-2*e^-4*y)

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