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The value of 'a' for which the function cos x − sin x + ax + b is decreasing is given by

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The value of 'a' for which the function cos x − sin x + ax + b is decreasing is given by

(1) a < √2

(2) a > √2

(3) a < √2

(4) a < 1

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1 Answer

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Best answer

Correct option (3) a < √2

Explanation:

f(x) = cos x − sin x + ax + b

⇒ f'(x) = − sin x − cos x + a < 0, if f(x) 

is decreasing

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