Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeError approximationMedium2 minPYQ_2025

MathematicsMediumsingle choice

Let $f : R \to R$ be a function defined by $f (x) = ∥ x + 2∣ - 2∣ x ∥$ . If $m$ is the number of points of local minima and $n$ is the number of points of local maxima of $f$ , then $m + n$ is

Options:

Answer:

Solution:

$f (x) = ∥ x + 2∣ - 2∣ x ∥$
Critical points, $0, - 2, 2, - \frac{2}{3}$

No. of maxima $= 1$
No. of minima $= 2$
option (2)

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Error approximation

⏱ 2mℹ️ Source: PYQ_2025

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