Question

The function f(x)=(4x+7)e^−6x has one critical number. Find it.

Answer 1

is it
\[f(x)=(4x+7)e^{-6x}\]?

Answer 2

if so, since
\[e^{-6x}>0\] it is where
\[4x+7=0\]

Answer 3

yes it is. I found the answer actually it turned out to be 4x+7 multiplied out, which gave me 38/-24

Answer 4

? it should be
\[4x+7=0\]
\[4x=-7\]
\[x=-\frac{7}{4}\]

Answer 5

i'm not sure why our answers differ but I assure you I got the problem right

Answer 6

I used the product rule then factored and set it equal to zero