What is the derivative of |x-3| ?

The derivative of |x-3| is (x-3)/(|x-3|)

What is the first derivative of |x-3| ?

The first derivative of |x-3| is (x-3)/(|x-3|)

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\frac{d}{d x} (∣ x - 3 ∣)

\frac{x - 3}{∣ x - 3 ∣}

Solution steps

\frac{d}{d x} (∣ x - 3 ∣)

Apply the chain rule:

\frac{x - 3}{∣ ( x - 3 ) ∣} \frac{d}{d x} (x - 3)

= \frac{x - 3}{∣ ( x - 3 ) ∣} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= \frac{x - 3}{∣ ( x - 3 ) ∣} \cdot 1

Simplify

= \frac{x - 3}{∣ x - 3 ∣}

y = sin (3 x) + sin^{2} (3 x), (0, 0)

x \to \infty lim (2, x)

\frac{\partial}{\partial x} (6 x^{2} + 9 x y + 5 y^{2})

((1 + sin (x))^{2} + (1 + cos (x))^{4})^{^{'}}

\int (x + 1) 2 d x

What is the derivative of |x-3| ?
The derivative of |x-3| is (x-3)/(|x-3|)
What is the first derivative of |x-3| ?
The first derivative of |x-3| is (x-3)/(|x-3|)