What is the derivative of |x^2-2x| ?

The derivative of |x^2-2x| is ((x^2-2x)(2x-2))/(|x^2-2x|)

What is the first derivative of |x^2-2x| ?

The first derivative of |x^2-2x| is ((x^2-2x)(2x-2))/(|x^2-2x|)

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

\frac{( x ^{2} - 2 x ) ( 2 x - 2 )}{∣ x ^{2} - 2 x ∣}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{x ^{2} - 2 x}{∣ ( x ^{2} - 2 x ) ∣} (2 x - 2)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x ^{2} - 2 x ) ( 2 x - 2 )}{∣ x ^{2} - 2 x ∣}

\int 3 y^{5} d y

\int_{- a}^{a} f (x) d x

\frac{d}{d x} (x^{5} + 37 x)

x \to 0 lim (\frac{1}{1 - cos ( x )})

\int e^{- x^{2} + 3 x} d x

What is the derivative of |x^2-2x| ?
The derivative of |x^2-2x| is ((x^2-2x)(2x-2))/(|x^2-2x|)
What is the first derivative of |x^2-2x| ?
The first derivative of |x^2-2x| is ((x^2-2x)(2x-2))/(|x^2-2x|)