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

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

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

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

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derivative of

x ln (2 x) - x

ln (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= ln (2 x) + 1 - 1

Simplify

= ln (2 x)

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

f (x) = 12 t

x \to \infty lim (e \frac{1}{x})

f (x) = 5 x, at x = 1

t^{3} \cdot cos (3 t)

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