x^4 + y^4 = 1 - Wolfram|Alpha

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Input

x^4 + y^4 = 1

Implicit plot

Implicit plot

Alternate form

x^4 + y^4 - 1 = 0

Solutions

y = -(1 - x^4)^(1/4)

y = -i (1 - x^4)^(1/4)

y = i (1 - x^4)^(1/4)

y = (1 - x^4)^(1/4)

Integer solution

x = ± 1, y = 0

x = 0, y = ± 1

Implicit derivatives

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

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

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