Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingEasy2 minPYQ_2011

MathematicsEasysingle choice

The function $f (x) = sin x - k x - c$ , where $k$ and $c$ are constants, decreases always when

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Solution:

Let $f (x) = sin x - k x - c$ where $k$ and $c$ are constants. $f^{'} (x) = cos x - k$ $∴ f$ decreases if $cos x \leq k$ Thus, $f (x) = sin x - k x - c$ decrease always when $k \geq 1$ .

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

⏱ 2mℹ️ Source: PYQ_2011

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