What is implicit-5x^2+3y^2=1 ?

The answer to implicit-5x^2+3y^2=1 is (dy)/(dx)=(5x)/(3y)

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implicit-5x^2+3y^2=1

implicit derivative

- 5 x^{2} + 3 y^{2} = 1

\frac{d y}{d x} = \frac{5 x}{3 y}

Solution steps

- 5 x^{2} + 3 y^{2} = 1

Treat

y

y (x)

Differentiate both sides:

- 10 x + 6 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{5 x}{3 y}

\frac{d y}{d x} = \frac{5 x}{3 y}

\frac{\partial}{\partial x} (x yz w + 2 x + 3 y + 4 z + w)

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

\int (6 x) d x

\frac{\partial}{\partial y} (e^{- y} cos (x))

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

What is implicit-5x^2+3y^2=1 ?
The answer to implicit-5x^2+3y^2=1 is (dy)/(dx)=(5x)/(3y)