Find the first partial derivatives and evaluate each at the given point.

Question

Function
w = 2x^2y − 6xyz + 10yz^2
Point
(2, 5, −3)

wx(2, 5, −3) =

wy(2, 5, −3) =

wz(2, 5, −3) =

Answer 1

Partials are easy. Just consider the extra variables as constants.

Wx = 4xy-6yz
Wy = 2x^2-6xz+10z^2
Wz = -6xy+20yz

Now just plug in the numbers.