How do you find the solution set or optimum value in 'Time Goes On'?

medium MCQ Class 3 · Mathematics · Time Goes On

By solving system equations, matrix determinants, or setting $f^{'} (x) = 0$ for critical points
By guessing integer values without solving equations
By plotting unaligned random points
By ignoring boundary conditions

Answer

By solving system equations, matrix determinants, or setting

f^{'} (x) = 0

for critical points

The correct answer is By solving system equations, matrix determinants, or setting $f^{'} (x) = 0$ for critical points — Evaluate second derivative $f^{''} (x)$ to test for local maxima or minima.

Step-by-step solution

Set first derivative equal to zero to identify critical points ( $f^{'} (x) = 0$ ).
Evaluate second derivative $f^{''} (x)$ to test for local maxima or minima.

Concept tested: Problem Solving & Optimization

Published 28 August 2026 · How this solution was prepared and checked

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