Question

y = (e^x + 10)/(e^x - 10).

Find (dy)/(dx)

im confused w/ the quotient rule

Answer 1

heres what i have found

Answer 2

(e^x+10)1-(e^x+10)(1)/(e^x-10)^2

Answer 3

is that right so far?

Answer 4

no

Answer 5

quotient rule of f(x)/g(x) is [g(x)*f'(x)-f(x)*g'(x)]/g^2(x)

Answer 6

i know (g(x)f^'(x)-f(x)g^'(x))/([g(x)]^2).

Answer 7

dy/dx of (e^x+10) is not 1

Answer 8

e^x =1 right and the deriv of 10 =0

Answer 9

no e^x = e^x

Answer 10

i thought e^x was number

Answer 11

it is but you are differentiating x not e

Answer 12

so its (e^x+10)(e^x)-(e^x+10)(e^x)/(e^x-10)^2

Answer 13

the left side the first term is e^x-10

Answer 14

ok how do i reduce it?

Answer 15

factoring out what?

Answer 16

just multiply through and see is anything drops out

Answer 17

i dont factor out e^x?

Answer 18

why would you it doesnt help reduce it any

Answer 19

oh ok i got it

Answer 20

it is (e^x)(-20)/(e^x-10)^2

Answer 21

yes it is, great work