What is implicit (dy)/(dx),sqrt(x)+sqrt(y)=5 ?

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

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implicit (dy)/(dx),sqrt(x)+sqrt(y)=5

implicit derivative

\frac{d y}{d x}, x + y = 5

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

Solution steps

x + y = 5

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}

\frac{d}{d s} (3 (s^{3} - s^{2}))

\int 9 e^{- 3 x} d x

\frac{1}{1 - x ^{2}}

y^{^{''}} = - y + 0.1 y^{^{'}}

x \to 0 lim (81 x^{4} - 216 x^{3} + 216 x^{2} - 96 x + 16)

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