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

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

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

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

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

2 ln (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 ln (x) + 2 - 2

Simplify

= 2 ln (x)

\int e^{2 x} \frac{1}{2} d x

\int csc (2 y) d y

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

ln (cos (x))

d y = (x - 2 y (cot (2 x))) d x

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