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}

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

\frac{d}{d x} (\frac{5}{( 6 x + 5 ) ^{2}})

\int_{0}^{8} \frac{1}{64 - t ^{2}} d t

\frac{d}{d x} (cos^{2} (4 π x))

\int sec^{2} (2 x) tan^{2} (2 x) d x

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