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Derivatives — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsDerivatives1 Mark
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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