Question

patrial derivatives of:

f(x,y,z) = xSin(y-z)

Answer 1

i got these answers and want to check to see if they are right:

WRT X = xcos(y-z) + sin(y-z)
WRT Y = xcos(y-z)
WRT Z = -xcos(y-z)

Answer 2

the second and third are right
the first is wrong

Answer 3

sin(y-z)

Answer 4

if y and z are constant, then sin(y-z) is a constant, so this is like
d/dx(xK)=K

Answer 5

preeeeeecisely.

Answer 6

so it's just sin(y-z)?

Answer 7

yep