What is implicit 3x^2-5y^2=4 ?

The answer to implicit 3x^2-5y^2=4 is (dy)/(dx)=(3x)/(5y)

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implicit 3x^2-5y^2=4

implicit derivative

3 x^{2} - 5 y^{2} = 4

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

Solution steps

3 x^{2} - 5 y^{2} = 4

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

What is implicit 3x^2-5y^2=4 ?
The answer to implicit 3x^2-5y^2=4 is (dy)/(dx)=(3x)/(5y)