मराठी

The function f(x) = kx – sin x is strictly increasing for ______. - Mathematics

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प्रश्न

The function f(x) = kx – sin x is strictly increasing for ______.

पर्याय

  • k > 1

  • k < 1

  • k > –1

  • k < –1

MCQ
रिकाम्या जागा भरा

उत्तर

The function f(x) = kx – sin x is strictly increasing for k > 1.

Explanation:

f (x) = kx − sin x is strictly increasing for all x ∈ R

f'(x) > 0 ∀ x ∈ R

λ (0) > 0

= k − cos x > 0

= k − cos 0 > 0

= k − 1 > 0 ⇒ k > 1

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