y=3^(x-2)-4 - Wolfram|Alpha

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Input

y = 3^(x - 2) - 4

Plot

Plot

Real root

x = log(36)/log(3)

Periodicity

periodic in x with period (2 i π)/log(3)

Partial derivatives

d/dx(3^(x - 2) - 4) = 3^(x - 2) log(3)

d/dy(3^(x - 2) - 4) = 0

Implicit derivatives

(dx(y))/(dy) = 3^(2 - x)/log(3)

(dy(x))/(dx) = 3^(-2 + x) log(3)

Limit

lim_(x->-∞)(-4 + 3^(-2 + x)) = -4

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