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

The answer to implicit (dy)/(dx),y^4=x is (dy)/(dx)= 1/(4y^3)

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

implicit derivative

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

\frac{d y}{d x} = \frac{1}{4 y ^{3}}

Solution steps

y^{4} = x

Treat

y

y (x)

Differentiate both sides:

4 y^{3} \frac{d y}{d x} = 1

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1}{4 y ^{3}}

\frac{d y}{d x} = \frac{1}{4 y ^{3}}

\frac{\partial}{\partial x} (- 2 cos (3 x))

\int_{0}^{1} \frac{1}{1 + x} d x

n = 1 \sum \infty \frac{n}{2 n ^{4} + 2}

\int_{0}^{1} e^{3 x} d x

(2, 3), (4, 5)

What is implicit (dy)/(dx),y^4=x ?
The answer to implicit (dy)/(dx),y^4=x is (dy)/(dx)= 1/(4y^3)