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Popular >

derivative of xy=c^2

Solution

derivative of

x y = c^{2}

Solution

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

Solution steps

x y = c^{2}

Treat

y

as

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}

Popular Examples

derivative of x^y=x^3+2sin(x)derivative of

x^{y} = x^{3} + 2 sin (x)

derivative of 1-x^3=t^2 derivative of

1 - x^{3} = t^{2}

derivative of (x+y)^2=4 derivative of

(x + y)^{2} = 4

derivative of x^2-y^2=tan(x)y derivative of

x^{2} - y^{2} = tan (x) y

derivative of x=(y+1)/y derivative of

x = \frac{y + 1}{y}

Frequently Asked Questions (FAQ)

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