Write the derivative of f(x) = 3|2 + x| at x = -3. - Vidyadip

Question

Write the derivative of f(x) = 3|2 + x| at x = -3.

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Answer

Here,

$\text{f}(\text{x})=3|2+\text{x}|$

$\text{f}(\text{x})=\begin{cases}3(2+\text{x})&\text{at }\text{x}>-2\\-3(2+\text{x})&\text{at }\text{x}<-2\end{cases}$

Since x = -3, therefore f(x) = -3(2 + x)

f'(x) = -3

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