Please teach me about partial derivatives?

Question

Please teach me about partial derivatives. I know how to do differentiation, but how do you do partial derivatives?

Thanks!

^_^

Answer 1

If you have a multivariable function f(x,y,z). A partial derivitive will help show how the function will change in regards to holding all other variables constant.

Ex,

f(x,y,z) = x^2*y+z

df(x,y,z) / dx = 2xy

df(x,y, z) / dy = x^2

df(x,y, z) / dz = 1

I hope this brings some clarity.

Answer 2

It's really easy to do.You need partial derivatives if u have a function with more than 1 variable.Really its nothing on it.If u have a function with variables X,Y,Z.If u want to differentiate it with X Just think Y&Z as constants and do the differentiation.See its really easy.You can find out more theory by reffering book 'Advance engineering mathematics' By H.K.Dass.TC

Answer 3

Let the function f=f(x1,x2,x3,...)

Basically, partial derivative of f wrt x1 would be like taking the full derivative with respect to x1, and taking all else (x2,x3,etc) to be a constant as in simple differentiation,

Example:

f(x,y,z) = xyz

let's denote the partial derivative of f as pd(f)

pd(f)/pd(x) = pd(xyz)/pd(x)
= yz d(x)/dx
=yz

pd(f)/pd(y) = pd(xyz)/pd(y)
= xz d(y)/dy
=xz

The process is the same for any function.

Answer 4

very easy dear!don't fear!however u must promise me that after this u'll be in touch with me!
he it is>> the given e.g; find partial derivative of xyz with respect to x
just consider all other variables i.e y and z the constants!so keep them out of the bound of derivative and differentiate the terms involving x,the variable with respect to whom u want to differentiate!then multiply y and z terms with it which u kept out of derivative! so the anser of above question "xyz" with respect to "x" is; "yz"
examples>>
D (x^2 *y^3 *Z5)
answer= 2x*y^3* Z^5

furthurmore ,u send me ur complete qualification , name , area, age etc to help u furthur!
[e-mail]

Answer 5

sorry, I don't know