What is implicit (dy)/(dx),x^2=y^3 ?

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

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implicit (dy)/(dx),x^2=y^3

implicit derivative

\frac{d y}{d x}, x^{2} = y^{3}

\frac{d y}{d x} = \frac{2 x}{3 y ^{2}}

Solution steps

x^{2} = y^{3}

Treat

y

y (x)

Differentiate both sides:

2 x = 3 y^{2} \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{2 x}{3 y ^{2}}

\frac{d y}{d x} = \frac{2 x}{3 y ^{2}}

\frac{d}{d x} ((arccos (x))^{10})

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

\int \frac{25 + 5 x}{x} d x

\frac{d}{d x} (sin (x^{3}) + sin^{3} (x))

\int_{- 4}^{1} (3 x + 6) d x

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