Question #7f767

1 Answer
Feb 20, 2018

Derivatives given below.

Explanation:

f(x,y)=-10sin(2x+y) + cos (x-y)

f_x (x,y)= -10 cos (2x +y) (2) - 6 sin (x-y)
= -20 cos (2x+y) - 6 sin (x-y)
f_y(x,y)= -10cos (2x+y) -6 sin (x-y) (-1)
= -10 cos (2x+y) +6 sin (x-y)

f_(x x) (x,y)= 40 sin (2x+y)- 6 cos (x-y)

f_(y y) (x,y) =20 sin (2x+y) - 6 cos (x-y)

f_(x y) (x,y)=20 sin (2x+y)+6 cos (x-y)

f_(y x) (x,y)=20 sin (2x+y)+6 cos(x-y)