What is implicit y^4-3xy^5=1 ?

The answer to implicit y^4-3xy^5=1 is (dy)/(dx)=(3y^2)/(4-15xy)

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implicit y^4-3xy^5=1

implicit derivative

y^{4} - 3 x y^{5} = 1

\frac{d y}{d x} = \frac{3 y ^{2}}{4 - 15 x y}

Solution steps

y^{4} - 3 x y^{5} = 1

Treat

y

y (x)

Differentiate both sides:

4 y^{3} \frac{d y}{d x} - 3 (y^{5} + 5 x y^{4} \frac{d y}{d x}) = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{3 y ^{2}}{4 - 15 x y}

\frac{d y}{d x} = \frac{3 y ^{2}}{4 - 15 x y}

127 q + 1406

\int_{0}^{7} (7 - x) d x

f (x) = x^{x}

\frac{d}{d x} (31 arctan (x))

\frac{\partial}{\partial x} (e^{y} + x + x^{2} + 4)

What is implicit y^4-3xy^5=1 ?
The answer to implicit y^4-3xy^5=1 is (dy)/(dx)=(3y^2)/(4-15xy)