Question

Calc 3

Answer 1

i know the answer

Answer 2

Everything about calc 3? Alright this will be fun.

Answer 3

Cos(xyz)=1+x^2y^2+z^2 find dz/dx and dz/dy

Answer 4

ERHMERGHERD WE HAVE COMEDIANS

Answer 5

I dont know how im supposed to isolate the z in the cos? or if thats even the right move.

Answer 6

@dan815 you're my only hope

Answer 7

nope

Answer 8

Okay so since no one else will take the initiative, I'll try my best. First you want to take the derivative like you normally do, except you also want to tag the variable that you are interested in (for dz/dx, z needs to be tagged) with a dz/dx.

Answer 9

so like implicit differentiation?

Answer 10

Yes

Answer 11

I think it helps if you separate everything first like you suggested earlier

Answer 12

Alright, I'll see how this goes. Thank you for the help! @Snowfire

Answer 13

The cos(xyz) would require the product rule for the inside in case you were confused about that

Answer 14

@Snowfire more or less, I just figured I had to set everything equal to z and then take derivatives and didnt know how to get the z inside the cos(xyz) out but I think I'm good. Thank you again.

Answer 15

You are on the right track with separating the z, since when you take the derivative for the next step, the dz term will be alone. In this case you can't, so just take the derivative and separate after.