What is the derivative of 5-|x| ?

The derivative of 5-|x| is -x/(|x|)

What is the first derivative of 5-|x| ?

The first derivative of 5-|x| is -x/(|x|)

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\frac{d}{d x} (5 - ∣ x ∣)

- \frac{x}{∣ x ∣}

Solution steps

\frac{d}{d x} (5 - ∣ x ∣)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5) - \frac{d}{d x} (∣ x ∣)

\frac{d}{d x} (5) = 0

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

= 0 - \frac{x}{∣ x ∣}

Simplify

= - \frac{x}{∣ x ∣}

\int tan (3 x se) c^{2} 3 x d x

x \to - 3 lim (x^{2} + x - x)

\int_{0}^{1} \frac{x}{x ^{3} + 1} d x

\frac{d}{d x} (\frac{x - 6}{x ^{2} - 2 x + 12})

f (x) = cos^{2} (x)

What is the derivative of 5-|x| ?
The derivative of 5-|x| is -x/(|x|)
What is the first derivative of 5-|x| ?
The first derivative of 5-|x| is -x/(|x|)