What is the derivative of f(x)=|x-3| ?

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

What is the first derivative of f(x)=|x-3| ?

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

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derivative of

f (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 ∣}

\frac{\partial}{\partial x} (\frac{8.31 x}{y})

f (x) = 2 x^{2} - 7 x + 5, at x = 2

\frac{d}{d x} (9 ln (1 + x^{2}))

x \to 6 lim (c x^{2} + 7 x)

\int z^{11} d z

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