Question

partial derivative of
f (x, y, z) = e ^ (3x +4 y) cos 5z

Answer 1

With respect to...?

Answer 2

x,y,z

Answer 3

oks no problem!!

Answer 4

d/dx ---> 3e^(3x+4y)cos(5z)
d/dy ---> 4e^(3x+4y)cos(5z)
d/dz ---> -5e^(3x+4y)sin(5z)

Answer 5

z is the easiest. hold everything else constant and the derivative of
\[cos(5z)=-5sin(5z)\]
so answer is just \[-5e^{3x+4y}sin(5z)\]

Answer 6

dasdfefefd is quick!

Answer 7

z if it is easier haha

Answer 8

dasdfefefd muchas gracias!!

Answer 9

dasdfefefd brother thank you very much

Answer 10

f (x, y, z) = e ^ (3x +4 y) cos 5z with respect to x d/dx ---> 3e^(3x+4y)cos(5z) then the other variables do not behave as constants?