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f(x) = sin x is increasing inA. (π/2, π)B. (π, 3π/2)C. (0, π)D. (-π/2, π/2) |
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Answer» Answer is : D. (-π/2, π/2) Given: f(x) is sin x ∴ f’(x) = cos x ⇒ f’(x) = cos x = 0 ⇒ for x ∈ (-π/2, π/2) f’(x) is increasing ∴ f(x) is increasing in (-π/2, π/2). |
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