Partial Derivatives of x^2yz+3y-xcos(3yz): df/dx and df/dy Solutions

[cabellos]

I have to find the 3 partial derrivatives of f(x,y,z) = x^2yz+3y-xcos(3yz)

I have solved for df/dx and df/dy and here are my solutions:

df/dx = 2xyz-cos3yz
df/dy = x^2z+3+3xzsin3yz

are these correct so i can continue with the problem?

Thanks for the help.

 

[arildno]

Yup, they are!
Just treat the other variables as constants.

 

[tacman]

Yes, your solutions for df/dx and df/dy are correct. To verify, you can use the product rule and chain rule to take the partial derivatives and see that they match your solutions. Keep up the good work!