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

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SUMMARY

The discussion focuses on calculating the partial derivatives of the function f(x,y,z) = x^2yz + 3y - xcos(3yz). The correct solutions provided are df/dx = 2xyz - cos(3yz) and df/dy = x^2z + 3 + 3xzsin(3yz). Participants confirm the accuracy of these derivatives, emphasizing the importance of treating other variables as constants during differentiation.

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

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