Question

Help, please. Partial Derivatives when it comes with more than two variables. Let say a function f(x,y,z)

Answer 1

\(\partial f/\partial x\) means you are differentiating that function 'f' with respect to x, treating, y and z as constants.

Answer 2

\(\partial f/\partial y\) means you are differentiating that function 'f' with respect to y, treating, x and z as constants.
\(\partial f/\partial z\) means you are differentiating that function 'f' with respect to z, treating, y and x as constants.

Answer 3

any specific function you wanna partially differentiate ?

Answer 4

or should i create an example ?

Answer 5

Let say f(s,y,z) = 3x^3 y^2z^4

Answer 6

its f(x,y,z)

Answer 7

Then find fsubx (1,2,3)

Answer 8

so for ∂f/∂x , you treat y and z as constant
f = constant * x^3
where constant = 3y^2z^4

Answer 9

can you differentiate f = constant * x^3

Answer 10

Not really. I'm sorry.

Answer 11

\(d/dx(x^n)=nx^{n-1} \\ (d/dx) x^3 =... ?\)

Answer 12

aa. I know that :)

Answer 13

3x^2

Answer 14

so, \((d/dx)constant*x^3=constant *(3x^2)=3y^2z^4 *(3x^2)=...?\)

Answer 15

9x^2y^2^2z^4

Answer 16

thats your ∂f/∂x

Answer 17

What about, when you have to find the slope of the surface in the x-direction at the point (2,0)?

Answer 18

slope at a point = derivative at that point
so differentiate the function once and then put x=2,y=0

Answer 19

okay thanks.

Answer 20

welcome ^_^

Answer 21

where you're from?

Answer 22

i am from india :) what about you ?

Answer 23

Philippines.

Answer 24

nice meeting you :)

Answer 25

likewise :)

Answer 26

Do you know the contour plotting in a three dimensional into two dimensional?

Answer 27

i am afraid not, sorry :(

Answer 28

Its okay :)