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 ∣}

f^{^{'}} (x) = \frac{1}{3} x^{4} - 5 x^{2} + 5

y = ln (\frac{1}{x})

\frac{d}{d x} (\frac{tan ( x )}{1 - sec ( x )})

x e^{x} - e^{x}

\int_{- \infty}^{0} x e^{- x^{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|)