How to calculate #f(x,y,z)=x^3sqrty+4z^3y^2-xyz+x^2 - 3sqrt(z^5)# by first order of partial derivative?

1 Answer
Ultrilliam
Jul 28, 2018

#f(bbx)=x^3sqrty+4z^3y^2-xyz+x^2 - 3sqrt(z^5)#

Using the power rule:

  • #{(f_x = 3x^2sqrty - yz+2x ),(f_y =1/2x^3 /sqrty+8z^3y-x z ),(f_z = 12z^2y^2-xy - 15/4sqrt(z^3)):}#

These are the partial derivatives. It is assumed that is what you meant.

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