For x, R,f(x)= 2- and g(x) = f(f(x)) then : - Vidyadip

MCQ

For $\text{x, }\in\text{ R},\text{f}(\text{x})=\mid\log2-\sin\text{x}\mid$ and $g(x) = f(f(x))$ then :

✓
$\text{g}\ '(0)=\cos (\log2)$
B
$\text{g}\ '(0)=-\cos (\log2)$
C
$\text{g}$ is diffrerentible at $x = 0$ and $\text{g}'(0)=-\sin(\log2)$
D
$\text{g}$ is diffrerentible at ${x = 0 }$

✓

Answer

Correct option: A.

$\text{g}\ '(0)=\cos (\log2)$

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