Question

Partial Derivative:

Answer 1

\[\frac{ \partial f }{ \partial x } e ^{\frac{ x }{ y }}\]

Answer 2

@abhrag321

Answer 3

is it \[\frac{ 1 }{ y }e ^{\frac{ x }{ y }}\] ?

Answer 4

what is f ?

Answer 5

\[f(x,y)=e ^{\frac{ x }{ y }}\]

Answer 6

you are right in doing partial differentiation.

Answer 7

because \[\frac{ d }{ dx }e ^{x}=(1)e^x=e^x\]

Answer 8

yes

Answer 9

okay thanks

Answer 10

welcome

Answer 11

@abhrag321 another question though:
wouldn't the partial of (x/y) need the quotient rule to be differentiated. so it would be\[\frac{ \partial }{ \partial x }(\frac{ x }{ y })=\frac{ 1(y)-x(0) }{ y^2 }=\frac{ y }{ y^2 }=\frac{ 1 }{ y }\]

Answer 12

lol my bad im trippin HARD!

Answer 13

thats the same answer

Answer 14

yes