Differentiability of Composite Function (Jee Ma… | ExamDuo
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Chain Rule and Composite Functions
Hard
Differentiability of Composite Function
For x ϵ R, f(x) = |log 2 – sin x| and g(x) = f(f(x)), then :
SELECT ONE OPTION
A
g is differentiable at x = 0 and g'(0) = -sin (log2)
B
g is not differentiable at x = 0
C
g'(0) = cos (log 2)
D
g'(0) = - cos (log 2)
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