Question:
Find the derivative of
\[
\frac{d}{dx} \left\{ \left| x \right|^2 \right\}.
\]
Find the derivative of
\[
\frac{d}{dx} \left\{ \left| x \right|^2 \right\}.
\]
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For differentiating absolute value functions, remember that the absolute value squared simplifies to a standard polynomial.
Updated On: Sep 13, 2025
- \( x^2 - 2x \)
- \( 2x - 2 \)
- \( 2x + 2 \)
- \( x - 2 \)
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The Correct Option is B
Solution and Explanation
We are given the function \( \left\{ \left| x \right|^2 \right\} \), which can be written as \( x^2 \). Taking the derivative of \( x^2 \), we get:
\[
\frac{d}{dx} \left( x^2 \right) = 2x.
\]
Thus, the correct answer is option (B) \( 2x - 2 \).
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