What is implicit (dy)/(dx),4xy=3 ?

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

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implicit (dy)/(dx),4xy=3

implicit derivative

\frac{d y}{d x}, 4 x y = 3

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

Solution steps

4 x y = 3

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

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\int \frac{x ^{2} - 2}{x ^{8}} d x

\int \frac{cos ^{5} ( α )}{sin ( α )} d α

\int cos (x) (4 + 7 sin^{2} (x)) d x

\frac{\partial}{\partial y} (3 x y^{2} z^{2})

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