Let f be he real-valued function defined by f(x)=sin^3x+sin^3|x|
(a) find f'(x) for x>0
(b) find f'(x) for x<0
(c) determine whether f(x) is continuous and x=0
(d) determine whether the derivative of f(x) exists at x=0
(a) find f'(x) for x>0
(b) find f'(x) for x<0
(c) determine whether f(x) is continuous and x=0
(d) determine whether the derivative of f(x) exists at x=0