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Popular >

derivative of x^2+y^2=25

Solution

derivative of

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

Solution

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

Solution steps

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

Treat

y

as

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}

Popular Examples

polar (0,-1)cartesian to polar

(0, - 1)

derivative of y=x^2-4 derivative of

y = x^{2} - 4

slope of y-4=-7(x-6)slope

y - 4 = - 7 (x - 6)

x = 6

slope of 1 slope

1

Frequently Asked Questions (FAQ)

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