What is implicit (dy)/(dx),5e^{xy}-4x=y+30.9 ?

The answer to implicit (dy)/(dx),5e^{xy}-4x=y+30.9 is (dy)/(dx)=(-5e^{xy}y+4)/(5e^{xy)x-1}

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implicit (dy)/(dx),5e^{xy}-4x=y+30.9

implicit derivative

\frac{d y}{d x}, 5 e^{x y} - 4 x = y + 30.9

\frac{d y}{d x} = \frac{- 5 e ^{x y} y + 4}{5 e ^{x y} x - 1}

Solution steps

5 e^{x y} - 4 x = y + 30.9

Treat

y

y (x)

Differentiate both sides:

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

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{- 5 e ^{x y} y + 4}{5 e ^{x y} x - 1}

\frac{d y}{d x} = \frac{- 5 e ^{x y} y + 4}{5 e ^{x y} x - 1}

\frac{d}{d x} ((8 x)^{\frac{1}{2}})

\frac{\partial}{\partial x} (3 \cdot (y + 1) \cdot (x - 3)^{3})

\int (x^{2} - 4)^{3} x d x

n = 1 \sum \infty \frac{- 4 ^{n}}{4 ^{n}}

\int_{0}^{\infty} e^{- 0.8 x} d x

What is implicit (dy)/(dx),5e^{xy}-4x=y+30.9 ?
The answer to implicit (dy)/(dx),5e^{xy}-4x=y+30.9 is (dy)/(dx)=(-5e^{xy}y+4)/(5e^{xy)x-1}