Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

$f (x) = sin 2 π x + {x} : x \in [0, 10]$

Number of points where $f (x)$ achieves local minima is

Options:

Answer:

Solution:

f(x) = sin 2πx + {x}: local minima occur at the β-points (one in each unit interval, 10 of them, where the sine curve bottoms) and at each integer jump of {x} in (0, 10) (9 integer points, where {x} drops from 1 to 0). Total = 10 + 9 = 19.

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: QB

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