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Home › CBSE Class 12 (Commerce) › Mathematics › Application of Derivatives › Over which part of (0, π/2) does sin 3x climb?

Over which part of (0, π/2) does sin 3x climb?

A(0, π/3)
B(0, π/6)
C(π/6, π/2)
D(π/3, π/2)
Answer & Solution
Correct answer: B. (0, π/6)
f'(x) = 3cos 3x is positive while 3x < π/2, that is x < π/6.
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