What is implicit (dy)/(dx),5xy^5+3xy=24 ?

The answer to implicit (dy)/(dx),5xy^5+3xy=24 is (dy)/(dx)=(-5y^5-3y)/(x(3+25y^4))

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implicit (dy)/(dx),5xy^5+3xy=24

implicit derivative

\frac{d y}{d x}, 5 x y^{5} + 3 x y = 24

\frac{d y}{d x} = \frac{- 5 y ^{5} - 3 y}{x ( 3 + 25 y ^{4} )}

Solution steps

5 x y^{5} + 3 x y = 24

Treat

y

y (x)

Differentiate both sides:

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

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{- 5 y ^{5} - 3 y}{x ( 3 + 25 y ^{4} )}

\frac{d y}{d x} = \frac{- 5 y ^{5} - 3 y}{x ( 3 + 25 y ^{4} )}

arctan (\frac{x}{6})

\int_{- 1}^{3} 3 x d x

\frac{\partial}{\partial x} (π \cdot x x^{2} + y^{2})

\frac{d}{d x} (ln (\frac{1}{6 + x}))

x \to 2 lim (x + 1)

What is implicit (dy)/(dx),5xy^5+3xy=24 ?
The answer to implicit (dy)/(dx),5xy^5+3xy=24 is (dy)/(dx)=(-5y^5-3y)/(x(3+25y^4))