If a =t^2 i +e^t j + k and b =2 i +t^2 j + t k and f(t)= a b , then f^ ( l ) is equal to

Step-by-step solution

We have, a =t^2 i +e^t j + k and b =2 i +t^2 j + t k aligned & f(t)= a b & f(t)=2 t^2+t^2 e^t+ t & f^ (t)=4 t+2 t e^t+t^2 e^t+ 1 t & f^ (1)=4+2 e+e+1 & f^ (1)=5+3 e aligned