A function is defined piecewise f(x) = ( e^x for x<0, e^(-x) + 2x for x>= 0). Sketch f(x) and its first, second and third derivatives

f(x) = ( e^x for x<0, e^(-x) + 2x for x>= 0)f'(x) = ( e^x for x<0, -e^(-x) + 2 for x>= 0)f''(x) = ( e^x for x<0, e^(-x) for x>= 0)f'''(x) = ( e^x for x<0, -e^(-x) for x>= 0)(Will sketch these during the session)