What is implicit (dy)/(dx),y^6=x^5 ?

The answer to implicit (dy)/(dx),y^6=x^5 is (dy)/(dx)=(5x^4)/(6y^5)

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implicit (dy)/(dx),y^6=x^5

implicit derivative

\frac{d y}{d x}, y^{6} = x^{5}

\frac{d y}{d x} = \frac{5 x ^{4}}{6 y ^{5}}

Solution steps

y^{6} = x^{5}

Treat

y

y (x)

Differentiate both sides:

6 y^{5} \frac{d y}{d x} = 5 x^{4}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{5 x ^{4}}{6 y ^{5}}

\frac{d y}{d x} = \frac{5 x ^{4}}{6 y ^{5}}

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What is implicit (dy)/(dx),y^6=x^5 ?
The answer to implicit (dy)/(dx),y^6=x^5 is (dy)/(dx)=(5x^4)/(6y^5)