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

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

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

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

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\frac{d}{d x} (3 - ∣ x - 3 ∣)

- \frac{x - 3}{∣ x - 3 ∣}

Solution steps

\frac{d}{d x} (3 - ∣ x - 3 ∣)

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3) = 0

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

= 0 - \frac{x - 3}{∣ x - 3 ∣}

Simplify

= - \frac{x - 3}{∣ x - 3 ∣}

n = 0 \sum \infty 7 (- \frac{1}{8})^{n}

x y^{^{'}} + 4 y = 2 x^{3}

y = 7 x + 2, (2, 4)

\int e^{- 16 x} d x

\frac{d}{d x} (1 - e^{- x} sin (y))

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