What is the derivative of f(x)=x(ln(x))-x ?

The derivative of f(x)=x(ln(x))-x is ln(x)

What is the first derivative of f(x)=x(ln(x))-x ?

The first derivative of f(x)=x(ln(x))-x is ln(x)

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derivative of

f (x) = x (ln (x)) - x

ln (x)

Solution steps

\frac{d}{d x} (x ln (x) - x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x ln (x)) - \frac{d x}{d x}

\frac{d}{d x} (x ln (x)) = ln (x) + 1

\frac{d x}{d x} = 1

= ln (x) + 1 - 1

Simplify

= ln (x)

f (x) = \frac{x ^{2} - 3 x}{2 x + 1}

\int \frac{( 7 x ^{2} + x + 7 )}{( x ^{2} + 1 ) ^{2}} d x

\int \frac{x ^{3} + 1}{x ^{2} - 4} d x

\int_{0}^{4} e^{- x} d x

n = 1 \sum \infty (\frac{1}{4})^{n}

What is the derivative of f(x)=x(ln(x))-x ?
The derivative of f(x)=x(ln(x))-x is ln(x)
What is the first derivative of f(x)=x(ln(x))-x ?
The first derivative of f(x)=x(ln(x))-x is ln(x)