What is partial derivative of z=(2x+3y)^10 with respect to x, y?

Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.





Or, if you actually did want the second order derivative,



and in case you meant the other way around, no need to compute that, as by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because is a polynomial).