Verified Answer :

MissPhiladelphia

Before taking the derivatives of the function, simplify the equation first for smooth operation.

x^6 + y^6 = 1

Multiply the whole equation with an exponent of 1/6 for uniformity. This would get rid of the exponents of x and y. The product would be

x + y = 1^1/6
x + y = 1

Expressing in terms of x:

y = 1 - x

Now, we derive the equation:

y' = 0 -1 = -1
y" = 0

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