Question

I have the answer can someone please check me
Where does f(x)=e^x-kx have a relative minimum?

Answer 1

"relative"
so, just the first derivative and second derivatives like before.

Answer 2

sort of I got x=lnk

Answer 3

sort of yes.

Answer 4

good.
now, the second derivative would be?

Answer 5

\[f''(x)=?\]

Answer 6

no I mean that is the answer for the problem

Answer 7

yes.

Answer 8

\[f'(x)=e^x-k=0\\\implies e^x=k\implies x=\ln(k)\]

Answer 9

ok thanks

Answer 10

only one critical point...
this is true IF and ONLY if.. k>0

Answer 11

Im confused so is my answer right or not

Answer 12

yes it is.

Answer 13

ok thanks

Answer 14

but.. for reference, "ln" is not defined for numbers "0 or less"
so, "k" cannot be "0 or negative"

Answer 15

that piece of information must be provided with the question.

Answer 16

well I wrotw the question down exactly

Answer 17

so, write what I said on your answer and impress your prof. ;)