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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Let f(x)=22x−1f\left( x \right) = {2^{2x - 1}} and g(x)=−2x+2xlog⁡2g\left( x \right) = - {2^x} + 2x\log 2. Then the set of points satisfying f′(x)>g′(x)f'\left( x \right) > g'\left( x \right) is
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Correct option: C
(0,∞)\left( {0,\infty } \right)
Option C ((0,∞)\left( {0,\infty } \right)) is correct because the inequality f′(x)>g′(x)f'\left( x \right) > g'\left( x \right) simplifies to x>0x > 0.

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