Is Absolute Value Differentiable

Is Absolute Value Differentiable - Let |x| be the absolute value of x for real x. **no, the absolute value function is not. Let u be a differentiable. $\begingroup$ sure, $f(x) = x^2\sin(1/x)$ (when $x\neq 0$, and $f(0)=0$) is everywhere.

$\begingroup$ sure, $f(x) = x^2\sin(1/x)$ (when $x\neq 0$, and $f(0)=0$) is everywhere. Let u be a differentiable. **no, the absolute value function is not. Let |x| be the absolute value of x for real x.

Let u be a differentiable. **no, the absolute value function is not. Let |x| be the absolute value of x for real x. $\begingroup$ sure, $f(x) = x^2\sin(1/x)$ (when $x\neq 0$, and $f(0)=0$) is everywhere.

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Let U Be A Differentiable.

Let |x| be the absolute value of x for real x. $\begingroup$ sure, $f(x) = x^2\sin(1/x)$ (when $x\neq 0$, and $f(0)=0$) is everywhere. **no, the absolute value function is not.

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