Calculus Problem

Question

Let f'''(t)= -2e^t

a). Find the most general formula for f''(t). If an arbitrary constant must be used, use an upper-case "C".

b). Based on your answers to (a), find the most general formula for f'(t). If another new arbitrary constant must be used here, use an upper-case "D".

c.) Based on your answer to (b), find the most general formula for f(t). If another new arbitrary constant must be used here, use an upper-case "E".

Answer 1

Let f'''(t)= -2e^t

f''(t)= -2e^t + C

f'(t)= -2e^t + Ct + D

f(t)= -2e^t + Ct²/2 + Dt + E