What is the derivative of |x|+1 ?

The derivative of |x|+1 is x/(|x|)

What is the first derivative of |x|+1 ?

The first derivative of |x|+1 is x/(|x|)

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derivative of

∣ x ∣ + 1

\frac{x}{∣ x ∣}

Solution steps

\frac{d}{d x} (∣ x ∣ + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (∣ x ∣) + \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= \frac{x}{∣ x ∣} + 0

Simplify

= \frac{x}{∣ x ∣}

x \to 0 lim (4 \cdot x^{2})

\int 1 + cos (2 x) d x

n = 1 \sum \infty (\frac{1}{2})^{99 - 1}

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\int x^{2} \cdot sin (a x) d x

What is the derivative of |x|+1 ?
The derivative of |x|+1 is x/(|x|)
What is the first derivative of |x|+1 ?
The first derivative of |x|+1 is x/(|x|)