What is implicit (dy)/(dx),xy=45 ?

The answer to implicit (dy)/(dx),xy=45 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=45

implicit derivative

\frac{d y}{d x}, x y = 45

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

Solution steps

x y = 45

Treat

y

y (x)

Differentiate both sides:

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}

\int_{0}^{4} 4 - x d x

f (x) = e^{x}, at x = 1

\frac{d y}{d x} y = 3^{x}

x \to \frac{1}{4} lim (8 x^{3})

\int x (4 x + 7)^{8} d x

What is implicit (dy)/(dx),xy=45 ?
The answer to implicit (dy)/(dx),xy=45 is (dy)/(dx)=-y/x