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Popular >

implicit x+1/y =2

Solution

implicit derivative

x + \frac{1}{y} = 2

Solution

\frac{d y}{d x} = y^{2}

Solution steps

x + \frac{1}{y} = 2

Treat

y

as

y (x)

Differentiate both sides:

1 - \frac{\frac{d y}{d x}}{y ^{2}} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = y^{2}

\frac{d y}{d x} = y^{2}

Popular Examples

integral of (2x-3)/((x-1)^2)

\int \frac{2 x - 3}{( x - 1 ) ^{2}} d x

area x^2-6,x area

x^{2} - 6, x

integral of (x^3+x)^9

\int (x^{3} + x)^{9} d x

y^'+5y=xe^{-5x}

y^{^{'}} + 5 y = x e^{- 5 x}

integral of sec^7(x)tan^3(x)

\int sec^{7} (x) tan^{3} (x) d x

Frequently Asked Questions (FAQ)

What is implicit x+1/y =2 ?
The answer to implicit x+1/y =2 is (dy)/(dx)=y^2