What is implicit x^3+y^3=126 ?

The answer to implicit x^3+y^3=126 is (dy)/(dx)=-(x^2)/(y^2)

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implicit x^3+y^3=126

implicit derivative

x^{3} + y^{3} = 126

\frac{d y}{d x} = - \frac{x ^{2}}{y ^{2}}

Solution steps

x^{3} + y^{3} = 126

Treat

y

y (x)

Differentiate both sides:

3 x^{2} + 3 y^{2} \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{x ^{2}}{y ^{2}}

\frac{d y}{d x} = - \frac{x ^{2}}{y ^{2}}

\frac{d}{d x} (3 x^{2} (2 x + 1)^{5})

n = 1 \sum \infty (\frac{n}{n + 5})^{n}

\frac{e ^{- 5 s}}{s ^{2}}

\frac{\partial}{\partial z} (y^{2} z^{3})

- 0.251 (x - 3.58)^{2} + 3.3

What is implicit x^3+y^3=126 ?
The answer to implicit x^3+y^3=126 is (dy)/(dx)=-(x^2)/(y^2)