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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1
The function ff defined by f(x)=4x4−2x+1f\left( x \right) = 4{x^4} - 2x + 1 in increasing for
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Correct option: D
x>12x > \frac{1}{2}
Option D (x>12x > \frac{1}{2}) is correct because the function f(x)=4x4−2x+1f(x) = 4x^4 - 2x + 1 is increasing when its derivative f′(x)=16x3−2f'(x) = 16x^3 - 2 is positive, which occurs for x>12x > \frac{1}{2}.

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