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JEE Main 2016 Mathematics question

MathematicsApplication of DerivativesJEE Main 2016

Let . Then, is an increasing function in the interval:

Answer: (3)

Solution

Simplify first. Since ,

f(x) = 1 - Missing argument for \frac\frac122x = 1 - = Missing argument for \frac\frac34 + .

Differentiating, , so increases exactly where $4x <

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Question ID VK-115665