Let (t)=⟨t2,1−t,4t⟩r(t)=⟨t2,1−t,4t⟩. Calculate the derivative of (t)⋅(t)r(t)⋅a(t) at t=2t=2, assuming that (2)=⟨2,5,−3⟩a(2)=⟨2,5,−3⟩ and ′(2)=⟨4,−3,9⟩

The  derivative is  

Step-by-step explanation:

From the question we are  told that

        and  

At  t  = 2  

Now  the derivative  of r(t) is  

At  t  = 2  

Now the derivative   of     At  t = 2 is