Aspire Faculty ID #17640 · Topic: JAMIA MILLIA ISLAMIA MCA 2025 · Just now
JAMIA MILLIA ISLAMIA MCA 2025

The function f(x) = |x| is:

Solution

$f(x) = |x|$

$|x| = \begin{cases} x, & x \ge 0 \ -x, & x < 0 \end{cases}$


$f'(x) = \begin{cases} 1, & x > 0 \ -1, & x < 0 \end{cases}$


Left derivative at $x = 0 = -1$

Right derivative at $x = 0 = 1$


Derivative does not exist.

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