Question

use implicit differentiation and partial differentiation

Answer 1

sure

Answer 2

i dont know how to do the partial differentiation sign

find z/x

3x^2+4y^2+2z^2=5

Answer 3

Now when you're doing partial differentiation of z with respect to x, just treat z as f(x), x as x, and everything else as a constant..

Answer 4

ok

Answer 5

So your derivative would be:
6x + 0 +4z(dz/dx)=0

Answer 6

and now just solve for dz/dx.. which would be the partial derivative.

Answer 7

ok i think i get it, i just needed to see a practical example