What is the derivative of f(x)=|x-2| ?

The derivative of f(x)=|x-2| is (x-2)/(|x-2|)

What is the first derivative of f(x)=|x-2| ?

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

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derivative of

f (x) = ∣ x - 2 ∣

\frac{x - 2}{∣ x - 2 ∣}

Solution steps

\frac{d}{d x} (∣ x - 2 ∣)

Apply the chain rule:

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

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

\frac{d}{d x} (x - 2) = 1

= \frac{x - 2}{∣ ( x - 2 ) ∣} \cdot 1

Simplify

= \frac{x - 2}{∣ x - 2 ∣}

x \to - 1 lim (\frac{x + 3}{x + 1})

\frac{d}{d z} (2^{z} lo g_{2} (z))

\frac{d}{d x} (\frac{x ^{2} - 3}{x ^{3}})

3 x^{^{'}} + 6 x = 4

\frac{r d θ}{d r} = θ^{2} + 1

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