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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
If f(x)=∣x−2∣f\left( x \right) = \left| {x - 2} \right| and g(x)=f(f(x))\mathrm{g}\left( x \right) = f\left( {f\left( x \right)} \right), then for x>20,g′(x)x > 20,\mathrm{g'}\left( x \right) is equal to
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Correct option: C
1
Option C (1) is correct because for x>20x > 20, g(x)g(x) simplifies to x−4x - 4, and its derivative is 1.

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