Find a formula for $f'(x)$, where $f(x) = |x^2 - 4|$. Hint: $f(x)$ may not be differentiable at $x = 2$ or $x = -2$. f'(x) = \text{if } x < -2 \text{if } -2 < x < 2 \text{if } x > 2
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The absolute value function is piecewise linear, meaning it can be broken down into different linear pieces based on the input value of x. Show more…
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