What is implicit (dy)/(dx),x^2+y^2=25 ?

The answer to implicit (dy)/(dx),x^2+y^2=25 is (dy)/(dx)=-x/y

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implicit (dy)/(dx),x^2+y^2=25

implicit derivative

\frac{d y}{d x}, x^{2} + y^{2} = 25

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

Solution steps

x^{2} + y^{2} = 25

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

x \to 2 lim ([g (x)]^{3})

f (x) = \frac{e ^{2 x}}{sin ( 3 x )}

, (x + 3)^{11}

2 x^{2} - 3 x, at x = 4

\frac{d x}{d t} = 4 x t^{5}

What is implicit (dy)/(dx),x^2+y^2=25 ?
The answer to implicit (dy)/(dx),x^2+y^2=25 is (dy)/(dx)=-x/y