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Popular >

f^'(x)=(1-x)/(x^2)

Solution

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

Solution

f (x) = - \frac{1}{x} - ln (x) + c_{1}

Solution steps

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

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

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

\int \frac{1 - x}{x ^{2}} d x = - \frac{1}{x} - ln (x) + c_{1}

f (x) = - \frac{1}{x} - ln (x) + c_{1}

Popular Examples

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

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\int_{0}^{2 π} 2

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\frac{20}{( s - 4 ) ( s ^{2} + 4 )}

(\partial)/(\partial x)((e^x-x)sin(y))

\frac{\partial}{\partial x} ((e^{x} - x) sin (y))

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=(1-x)/(x^2) ?
The solution for f^'(x)=(1-x)/(x^2) is f(x)=-1/x-ln(x)+c_{1}