mathematics precalculus

Question

Find ∂z / ∂x and ∂z / ∂y given that : 3xz+ z²y =xy+1

Answer 1

hi,

Find ∂z / ∂x and ∂z / ∂y given that : 3xz+ z²y =xy+1

For finding ∂z / ∂x it is enough, you take derivative of terms includes of x and imagine others ( y and z ) are constant numbers that you know derivative of constant number = 0

3xz+ z²y =xy+1 -----> 3xz+ z²y - xy-1 = 0 recognize which terms includes of x!

∂z / ∂x = 3z - y

3xz+ z²y - xy-1 =0 -------> recognize which terms includes of y!

∂z / ∂y = z^2 - x

I hope it is useful,

Minoo