What is implicit (dy)/(dx),25x=y^4 ?

The answer to implicit (dy)/(dx),25x=y^4 is (dy)/(dx)=(25)/(4y^3)

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implicit (dy)/(dx),25x=y^4

implicit derivative

\frac{d y}{d x}, 25 x = y^{4}

\frac{d y}{d x} = \frac{25}{4 y ^{3}}

Solution steps

25 x = y^{4}

Treat

y

y (x)

Differentiate both sides:

25 = 4 y^{3} \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{25}{4 y ^{3}}

\frac{d y}{d x} = \frac{25}{4 y ^{3}}

What is implicit (dy)/(dx),25x=y^4 ?
The answer to implicit (dy)/(dx),25x=y^4 is (dy)/(dx)=(25)/(4y^3)