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

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

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

implicit derivative

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

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

Solution steps

y^{5} = x^{3}

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

\int 5 sec^{2} (1 + 5 x) d x

\frac{1}{x ^{8}} \frac{d y}{d x} = 12 + 15 y

\frac{5}{ln ( x )}

\frac{d}{d x} (\frac{1}{x - 2} - 3)

t \to 1 lim (cos (π t))

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