Verified Answer :

f(x) = 4sin(x)

f'(x) = [4sin(x)]' = 4[sin(x)]' = 4cos(x)

(
 derivative of 4sin(x)
=(4)'sin(x)+4(sin(x))'

=0sin(x)+4(sin(x))'

=0sin(x)+4cos(x)

=4*cos(x)