What is implicit (dy)/(dx),y^3=x^5 ?

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

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implicit (dy)/(dx),y^3=x^5

implicit derivative

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

\frac{d y}{d x} = \frac{5 x ^{4}}{3 y ^{2}}

Solution steps

y^{3} = x^{5}

Treat

y

y (x)

Differentiate both sides:

3 y^{2} \frac{d y}{d x} = 5 x^{4}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{5 x ^{4}}{3 y ^{2}}

\frac{d y}{d x} = \frac{5 x ^{4}}{3 y ^{2}}

e^{a x}

\frac{d}{d x} f (x) = \frac{e ^{x}}{x ^{2} - 1}

f^{^{'}} (x) = x - 1

\frac{\partial}{\partial x} (2 x y + 1)

y^{^{''}} - 5 y^{^{'}} = 2 t

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