How do I calculate partial derivatives for this homework problem?

[michaeljlyons]

Homework Statement

calculate Δƒ/Δx and Δƒ/Δy.


ƒ(x,y) = x(y^2) + (x^2)y


any help will be appreciated

 

[cristo]

You need to show some work before we can help you. In order to attempt the question, you first need to know what Δƒ/Δx and Δƒ/Δy are. Can you tell us?

 

[michaeljlyons]

well what i did was

Δƒ/Δx = 2*x*y + y^2
Δƒ/Δy = x^2 + 2*x*y

but iam not sure if iam doing this right

f(x,y) confuses me forgot how to deal with this

 

[Dick]

It looks like you are taking partial derivatives of f(x,y) wrt to x and y. IF that's what you were trying to do, then you are in good shape.

 

[michaeljlyons]

so then my answer

Δƒ/Δx = 2*x*y + y^2
Δƒ/Δy = x^2 + 2*x*y


is correct right? for f(x,y)

 

[Dick]

Whether your answer is correct depends on what the question is. It's right if your delta notation is supposed to mean 'partial derivative'. It's not the usual notation.