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

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

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

The first derivative of f(x)=xln(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)

\int x x^{2} + 2 x + 4 d x

\frac{\partial}{\partial x} (x^{3} sin (5 y))

2 e^{- t} sin (2 t)

(1 + t e^{- t})^{3}

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

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