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Popular >

f^'(x)=ln(x)

Solution

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

Solution

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

Solution steps

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

If

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

then

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

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

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

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

Popular Examples

integral of 1/(xsqrt(x^2-36))

\int \frac{1}{x x ^{2} - 36} d x

(\partial)/(\partial y)(y-y/(x^2+y^2))

\frac{\partial}{\partial y} (y - \frac{y}{x ^{2} + y ^{2}})

(dN)/(dx)=((0.0922)N)(1-N/(60))

\frac{d N}{d x} = ((0.0922) N) (1 - \frac{N}{60})

derivative of (e^x-e^{-2x}^{1/5})

\frac{d}{d x} ((e^{x} - e^{- 2 x})^{\frac{1}{5}})

derivative of ((3x-1)/(2x+1))

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

Frequently Asked Questions (FAQ)

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