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The length of the longest interval, in which the function `3sin x-4 sin^3x` is increasing isA. `(pi)/(3)`B. `(pi)/(2)`C. `(3pi)/(2)`D. `pi` |
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Answer» Correct Answer - A Let `f(x) = 3 sin x - 4 sin ^(3) x = sin 3x ` The longest interval in which `sin x ` is increasing is of length `pi`. So, the length of largest interval in which `f(x) = sin 3x ` is increasing is `(pi)/(3)`. |
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