Question

I'm having a very hard time with partial differentiation

find x/y

ln(xy+yz+xz)

Answer 1

please forgive me i dont know how to make the partial derivative sign so thats why it isnt there in the question

Answer 2

I keep getting -1/2

Answer 3

its easy ;)
you must firstly try refering books then try to solve simple ones and then get to hard ones ;)
its an easy topic ;)

Answer 4

ok, can you help me solve this one. I think I've got it down but this one is giving me trouble

Answer 5

first of all use chain rule, and if you find two variables at a time ,use product rule

note: \[\frac{ d }{ dx }\times y = \frac{ dy }{ dx }\]
\[\frac{ d }{ dx } \times y^2 = 2y \times \frac{ dy }{ dx }\]
\[\frac{ d }{ dx } xy = x \times \frac{ dy }{ dx } + y \times \frac{ d }{ dx }x\]

Answer 6

will it be solved by you now?

Answer 7

if the function is called say F, then
\[\frac{dx}{dy} = \frac{dF}{dy}*\frac{dx}{dF}\]
\[\frac{dF}{dy} = \frac{x+z}{xy+xz+yz}\]
\[\frac{dF}{dx} = \frac{y+z}{xy+xz+yz}\]

Answer 8

@dumbcow all your d-s should be written \partial - s

Answer 9

*sorry i should have used "partial derivative" notation there

Answer 10

the difference is you treat other variables like constants

Answer 11

@m.auld64 I know that there are many explanations above me, but would you like me to have a crack at it as well?

Answer 12

sure thing!

Answer 13

be thorough

Answer 14

@dumbcow, the notation you have is NOT FOR partial, it can mean different things, it indicates "total derivative" which comprises of partials