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

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

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

implicit derivative

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

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

Solution steps

x + y = 9

Treat

y

y (x)

Differentiate both sides:

\frac{1}{2 x} + \frac{\frac{d y}{d x}}{2 y} = 0

Isolate

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

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

ln (e^{x})

\frac{d}{d x} (3 e^{x} + \frac{8}{3 x})

\int 1 + e^{2 t} d t

\int_{0}^{1} π (x)^{2} d x

\frac{d}{d x} ((x^{2} + \frac{1}{x ^{2}})^{5})

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