Help with derivative and integral please?

Question

1. derivative df/dt of the function

f(t) = a1 * e-b1*t + a2 * e-b2*t

2. integral of the function

f(t) = a1 * e-b1* t + a2 * e-b2*t

Please show me the details as well. Thanks!!!

Answer 1

1) f'(t) = 0-b1+0-b2

f'(t)=b1-b2

Note: a1 * e is a constant and its derivative is 0.

a2 * e is a constant and its derivative is 0.

2) Integral of f(t) is

a1*e t - b1 * t^2/2 + a2* e t - b2 * t^2/2 +C

Answer 2

Why don't you do your own homework. If you need to know how to do it I can help, but I won't do it for you!