What is the derivative of xln(x/(2e)-x) ?

The derivative of xln(x/(2e)-x) is ln(x/(2e))

What is the first derivative of xln(x/(2e)-x) ?

The first derivative of xln(x/(2e)-x) is ln(x/(2e))

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\frac{d}{d x} (x ln (\frac{x}{2 e}) - x)

ln (\frac{x}{2 e})

Solution steps

\frac{d}{d x} (x ln (\frac{x}{2 e}) - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x ln (\frac{x}{2 e})) - \frac{d x}{d x}

\frac{d}{d x} (x ln (\frac{x}{2 e})) = ln (\frac{x}{2 e}) + 1

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

= ln (\frac{x}{2 e}) + 1 - 1

Simplify

= ln (\frac{x}{2 e})

\int 9 sin^{5} (x) cos^{3} (x) d x

f (x) = (8 x - x^{2})^{3}

\int sin (5 x) d x

x \to - 1 lim (x^{3 - 4 x^{2} + 1})

4 t - 4 e^{t}

What is the derivative of xln(x/(2e)-x) ?
The derivative of xln(x/(2e)-x) is ln(x/(2e))
What is the first derivative of xln(x/(2e)-x) ?
The first derivative of xln(x/(2e)-x) is ln(x/(2e))