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Popular >

implicit xy=2

Solution

implicit derivative

x y = 2

Solution

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

Solution steps

x y = 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 (5sqrt(x)^{ln(x)})

\frac{d}{d x} ((5 x)^{l n (x)})

integral of sqrt(sin(2x))cos(2x)

\int sin (2 x) cos (2 x) d x

derivative of f(x)= 1/5 x-1/2 derivative of

f (x) = \frac{1}{5} x - \frac{1}{2}

integral of 8x^7

\int 8 x^{7} d x

\frac{x ^{\frac{3}{2}}}{3}

Frequently Asked Questions (FAQ)

What is implicit xy=2 ?
The answer to implicit xy=2 is (dy)/(dx)=-y/x