Question

There is a critical point of the function f(x)=(e^x)/(x^2+1) at.....

Answer 1

\[f'(x)=(e ^{x}(2x)-(x ^{2}+1)e ^{x})/(x ^{2}+1)\]

Answer 2

find where that is 0

Answer 3

f'(1)=0

Answer 4

Should quotient rule be used to differentiate? or Product rule and Chain rule together?

Answer 5

its quotient rule, i did it for you

Answer 6

remember d/dx of e^x is e^x so dont get confused

Answer 7

Should the denominator be (x^2+1)^2?

Answer 8

oh yes it should be, there you go i didn even pay attention when i did it

Answer 9

obviously you understand now so thats good

Answer 10

Yup, thank you!