Question

a local maximum value of the function y= e^x / x is.......

Answer 1

can you find the critical numbers?

Answer 2

i just have the multiple responses to it. a) 1/e b) 1 c) -1 d) e e) 0

Answer 3

we cant give answers but we can show how to get it... sorry...

Answer 4

oh okay sorry i am new to this

Answer 5

i got 1

Answer 6

the best way to do this without knowing calculus is by graphing it....

Answer 7

o so its -1

Answer 8

are you sure the question asks for a local maximum? or is it local minimum?

Answer 9

oh yeah local minimum
my bad

Answer 10

so just read what your calculator has as the local min...
if you don't have a graphing calculator, use this free online one:
https://www.desmos.com/calculator

Answer 11

well i graphed it but what point am isupposed to look at

Answer 12

you're supposed to look at where on the graph is a local minimum...

Answer 13

i got -1

Answer 14

here's a screenshot....

Answer 15

yeah i got that

Answer 16

x=-1 is not where the local minimum occurs...

Answer 17

0

Answer 18

what's the definition of a local minimum?

Answer 19

lowest value on a graph?

Answer 20

so what's the value at x=0 ?

Answer 21

something really small n negative

Answer 22

>-10

Answer 23

i mean less <-10***

Answer 24

can you be more specific? -100? -1000? -100009? what's the value at x=0?

Answer 25

idk its never ending

Answer 26

-100000000000

Answer 27

right... therefore, at x=0, you DO NOT have a local minimum...

Answer 28

so this whole function doesn't have one?

Answer 29

yes it does...
i just think you don't have the proper definition of what a "local minimum" is...

Answer 30

a local minimum is a point on the graph that is the lowest value when you consider other points very close to it....

Answer 31

so at x=1
theres a local minimum cuz of it decreasing to the lowest point

Answer 32

yes..... at x=1, the value is the lowest when you consider it's neighboring points.

Answer 33

yayyyy thank you

Answer 34

yw...:)

Answer 35

but i think your instructor wanted you to do this using calculus right?

Answer 36

yeah probably

Answer 37

lol...

Answer 38

how would u do it with calc

Answer 39

\(\large y=\frac{e^{x}}{x} \)

you'll need to first find the critical number(s) by taking the derivative dy/dx....
did you want to do it that way?

Answer 40

lnx e^x?

Answer 41

no wait its ok i don't need to do it that way just asked someone

Answer 42

either way works

Answer 43

ok...