Question

What are the extrema of `f(x) = 7e^x`?

Answer 1

There are no extrema

Explanation:

`f(x) = 7e^x`
`:. f'(x) = 7e^x`

At a max/min, `f'(x)=0 => 7e^x=0`
`:. e^x=0`

But `e^x > 0 AA x in RR`

Hence there are no extrema!