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Monotonically Increasing Functions

Find the valu...

Question

Find the values of $a$ for which the function $f (x) = sin x - a x$ is a decreasing function on $R$ .

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Solution

$f^{'} (x) = cos x - a ⟹ \in [- 1 - a, 1 - a] < 0 ⟹ a > 1$

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