What is the derivative of 5-|x-2| ?

The derivative of 5-|x-2| is -(x-2)/(|x-2|)

What is the first derivative of 5-|x-2| ?

The first derivative of 5-|x-2| is -(x-2)/(|x-2|)

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\frac{d}{d x} (5 - ∣ x - 2 ∣)

- \frac{x - 2}{∣ x - 2 ∣}

Solution steps

\frac{d}{d x} (5 - ∣ x - 2 ∣)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5) - \frac{d}{d x} (∣ x - 2 ∣)

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

\frac{d}{d x} (∣ x - 2 ∣) = \frac{x - 2}{∣ x - 2 ∣}

= 0 - \frac{x - 2}{∣ x - 2 ∣}

Simplify

= - \frac{x - 2}{∣ x - 2 ∣}

8 - x^{2}, x^{2}, - 3, 3

\frac{d}{d x} (\frac{2 2}{3} x^{\frac{3}{2}})

y^{^{'}} = y - t^{2} + 1

n = 4 \sum \infty \frac{7 ^{n}}{1 4 ^{n}}

\frac{d y}{d x}, x = sec (4 y)

What is the derivative of 5-|x-2| ?
The derivative of 5-|x-2| is -(x-2)/(|x-2|)
What is the first derivative of 5-|x-2| ?
The first derivative of 5-|x-2| is -(x-2)/(|x-2|)