Question

ln 8xy=e^(x+y)

Answer 1

I am just having such a hard time figuring it out!

Answer 2

figuring out what?

Answer 3

oh im sorry its find dy/dx

Answer 4

find the derivative

Answer 5

ooh ok
it will be easier if you start with
\[\ln(8)+\ln(x)+\ln(y)=e^{x+y}\] then take the derivative of both sides wrt \(x\)

Answer 6

you are thinking of \(y\) as a function of \(x\) so when you take the derivative of something involving \(y\) you need the chain rule
first step is
\[\frac{1}{x}+\frac{y'}{y}=(1+y')e^{x+y}\]

Answer 7

is that step clear? because it is algebra from here on in to solve for \(y'\)

Answer 8

so ln(8) goes away because it is an constant?

Answer 9

yup

Answer 10

how about the rest? because that was the only calc step
all other steps are algebra steps

Answer 11

ok so i got [(xye ^{x=y}-y)/(x-xye ^{x+y})\]

Answer 12

oh i didn't do it, but that looks good. let me check

Answer 13

hi @ satelllite how do u write 4/5 in fraction form? please tell:)

Answer 14

like this in math editor

Answer 15

@MegMegs4 yes i think that is correct
@maheshmeghwal9 it is in fraction form

Answer 16

thank you so much

Answer 17

yw

Answer 18

@satellite73 I wanna ask how do write a fraction using Equation editor

Answer 19

like