- #1

michonamona

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## Homework Statement

Let p>0. What is the derivative of [tex] |x|^{p}[/tex]?

## Homework Equations

## The Attempt at a Solution

I know that if p is even, then the derivative is just [tex] px^{p-1} [/tex]. But what if x is odd? Would it turn out to be some piecewise function, such as

[tex] px^{p-1},\: if x \geq 0[/tex] and [tex]-px^{p-1}, \: if x < 0 [/tex]

Any insights?

Thanks,

M