Diberikan f(0)=0, dan f'(0)=3 jika g(x)= sin(2f(x)), tentukan nilai g'(0)​

Jawab:

g(x)=  sin { 2.f(x) }

g'(x)=  2.f'(x). cos { 2. f(x)}

g'(0) = 2. f'(0) .cos { 2.f(0)}

g'(0) = 2. (3). cos (2. 0)

g'(0) =  6. cos 0

g'(0)=  6(1)

g'(0)= 6