Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingEasy2 minQB

MathematicsEasysingle choice

How many local maxima does $f (x) = x + sin x$ have?

Answer:

Solution:

$f (x) = 1 + cos x \geq 0$ . It vanishes at odd multiples of $π$ but never changes from positive to negative, so there is no local maximum.

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Increasing-Decreasing

⏱ 2mℹ️ Source: QB

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