What is the derivative of f(x)=|x-5| ?

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

What is the first derivative of f(x)=|x-5| ?

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

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derivative of

f (x) = ∣ x - 5 ∣

\frac{x - 5}{∣ x - 5 ∣}

Solution steps

\frac{d}{d x} (∣ x - 5 ∣)

Apply the chain rule:

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

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

\frac{d}{d x} (x - 5) = 1

= \frac{x - 5}{∣ ( x - 5 ) ∣} \cdot 1

Simplify

= \frac{x - 5}{∣ x - 5 ∣}

x^{^{''}} - 2 x - 5 = 0

\frac{\partial}{\partial x} (e^{k x})

1 0^{2 x}

\int 6 + 6 tan^{2} (x) d x

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