Question

Find the four second partial derivatives. Observe that the second mixed partials are equal z=x^2+8xy+3y^2

Answer 1

Answer:2,8,8,6

Explanation:

`f_x=2x+8y\\f_y=8x+6y\\f_(xx)= 2\\f_(xy)= f_(yx)= 8\\f_(yy)=6`

According to Clairaut's theorem, for most cases, the mixed partial derivatives are equal. In this case, it is.