What is implicit 7x^2-y^2=4 ?

The answer to implicit 7x^2-y^2=4 is (dy}{dx}=\frac{7x)/y

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implicit 7x^2-y^2=4

implicit derivative

7 x^{2} - y^{2} = 4

\frac{d y}{d x} = \frac{7 x}{y}

Solution steps

7 x^{2} - y^{2} = 4

Treat

y

y (x)

Differentiate both sides:

14 x - 2 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{7 x}{y}

\frac{d y}{d x} = \frac{7 x}{y}

\frac{d}{d x} (y (x + 1))

\int (2 + x^{2})^{2} d x

\frac{\partial}{\partial x} (sin (x y))

\int_{0}^{4} x e^{- x} d x

y = x^{3}, y = 8, x = - 1

What is implicit 7x^2-y^2=4 ?
The answer to implicit 7x^2-y^2=4 is (dy}{dx}=\frac{7x)/y