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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1
If f(x)=11−x,f\left( x \right) = \frac{1}{{1 - x}}, then the derivative of the composite function f[f{f(x)}]f\left[ {f\left\{ {f\left( x \right)} \right\}} \right] is equal to
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Correct option: C
1
Option C (1) is correct because after simplifying the composite function f[f{f(x)}] it results in x, and the derivative of x is 1.

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