Fx = 3x^2 + 2y^3
Fy = 6xy^2 - 9
Fxx = 6x
Fxy = 6y^2 = Fyx
Fyy = 12x
Now just plug in the numbers
Find the four second partial derivatives and evaluate each at the given point.
Function
f(x, y) = x^3 + 2xy^3 − 9y
Point
(9, 2)
fxx(9, 2) =
fxy(9, 2) =
fyx(9, 2) =
fyy(9, 2) =
2 answers
do this just like the one above
for example
df/dx = 3 x^2 + 2 y^3
df/dy = 6 x y^2 - 9
d/dx (df/dx) = 6 x
etc
for example
df/dx = 3 x^2 + 2 y^3
df/dy = 6 x y^2 - 9
d/dx (df/dx) = 6 x
etc