What is implicit (dy)/(dx),9y+x=4y ?

The answer to implicit (dy)/(dx),9y+x=4y is (dy)/(dx)=-1/5

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implicit (dy)/(dx),9y+x=4y

implicit derivative

\frac{d y}{d x}, 9 y + x = 4 y

\frac{d y}{d x} = - \frac{1}{5}

Solution steps

9 y + x = 4 y

Treat

y

y (x)

Differentiate both sides:

9 \frac{d y}{d x} + 1 = 4 \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{1}{5}

\frac{d y}{d x} = - \frac{1}{5}

\int (6 x^{2} - 4 e^{x}) d x

\frac{5 x ^{3} + 5 x ^{2}}{x}

\int \frac{arctan ( x )}{x ^{2}} d x

x = 4 y^{2}, x + y = 3

\int \frac{10 x}{81 x ^{4} + 49} d x

What is implicit (dy)/(dx),9y+x=4y ?
The answer to implicit (dy)/(dx),9y+x=4y is (dy)/(dx)=-1/5