Determine the first order partial derivative of the following functions:(a) z =In(r+r?)(3)(b) F(x;y) = jcos(e' Jut(3)(c) f(xyz)=xye =(5) [11]

Find the partial derivatives with respect to (a) $x,$ (b) $y$ and (c) $z$. $$f(x, y, z)=4 x^{2}+2 y^{3}+5 z^{5}+3 x-2 y+11 z+12$$

We have that Z is equal to three x plus five y minus one. Now let's calculate the partial derivatives of Z with respect to X. Well, with respect, why with respect to X, we just get three with respect to why we just get five and that's it..

Hello. We have to find the first order partial derivative of this given function. So Judy comes to half of ex wife dirigibles to excuse plus four x squared y mhm mhm plus two wide You? Yeah. So delegate upon GLX will be first to we will go partial transition with respect to X holding. Why constant? Okay.

Yeah. So danger upon de legs will be He comes to three x square, place your tax y zero So they laid upon deadlocks Bilby three x squared Plus here Tax way This is the answer I hope you should thank..

And, of course, and given the function thanks, why see Cheetah next line plus next z i z sound of first partially with respect to X, So X will be there variable and the others are under constant. So have the Y plus Z. And now that they have, why no wagon with a variable? So have the X plus Z and the pressure. If there was pretty busy, you continue the X plus why?.