GATE CS 2026 Set 1 — Question 46

MSQ+2 / -0HardMaxima & MinimaCalculusEngineering MathematicsDifferentiation

Engineering Mathematics → Calculus → Differentiation

Last updated 5 September 2026

Question

f: \mathbb{R} \rightarrow \mathbb{R}

f(x) = \left(\frac{|x|}{2} - x\right)\left(x - \frac{|x|}{2}\right) = -\left(x - \frac{|x|}{2}\right)^2

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f(x) = \left(\frac{|x|}{2} - x\right)\left(x - \frac{|x|}{2}\right) = -\left(x - \frac{|x|}{2}\right)^2

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