Question

f(t)=7te^(-5t)
find the local max?

Answer 1

put something down lol

Answer 2

\[f'(t)=7(-5t)'e^{-5t}=7(-5)e^{-5t}=-35e^{-5t}\]
if we set f' =0 we get
\[-35e^{-5t}=0 => e^{-5t}=0 \text{which never happens}=> e^{-5t} \neq 0\]
and therefore f' is all not undefined anywhere either
there are no critical numbers
there is is no local max
and if you think about e^{x}
this function is increasing forever and ever

Answer 3

all=also that is a type-0