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

The answer to implicit 5x^2-y^2=3 is (dy}{dx}=\frac{5x)/y

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implicit 5x^2-y^2=3

implicit derivative

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

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

Solution steps

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

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

\int \frac{1}{x ^{2} - 3 x} d x

x^{2} - \frac{2}{x ^{3}}

\frac{x ^{3}}{3} - 11 x, 5 x

\frac{d}{d x} ((2 x + 4)^{2})

\int \frac{3 x ^{2} - 2 x - 9}{x ^{3} - x ^{2} - 9 x + 9} d x

What is implicit 5x^2-y^2=3 ?
The answer to implicit 5x^2-y^2=3 is (dy}{dx}=\frac{5x)/y