(d) g(x)=f(f(x)) In the neighbourhood of x=0 f(x)=|log‌2−sin‌x|=(log‌2−sin‌x) ∴g(x)=|log‌2−sin|log‌2−sin‌x∥ =(log‌2−sin(log‌2−sin‌x)) ∴g(x) is differentiable and g′(x)=−cos(log‌2−sin‌x)(−cos‌x) ⇒g′(0)=cos(log‌2)