What is the derivative of |x-8| ?

The derivative of |x-8| is (x-8)/(|x-8|)

What is the first derivative of |x-8| ?

The first derivative of |x-8| is (x-8)/(|x-8|)

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\frac{d}{d x} (∣ x - 8 ∣)

\frac{x - 8}{∣ x - 8 ∣}

Solution steps

\frac{d}{d x} (∣ x - 8 ∣)

Apply the chain rule:

\frac{x - 8}{∣ ( x - 8 ) ∣} \frac{d}{d x} (x - 8)

= \frac{x - 8}{∣ ( x - 8 ) ∣} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= \frac{x - 8}{∣ ( x - 8 ) ∣} \cdot 1

Simplify

= \frac{x - 8}{∣ x - 8 ∣}

x \to \infty lim (x^{0})

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\int 14 sin^{3} (x co) s^{2} x d x

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What is the derivative of |x-8| ?
The derivative of |x-8| is (x-8)/(|x-8|)
What is the first derivative of |x-8| ?
The first derivative of |x-8| is (x-8)/(|x-8|)