Final answer:
To find ∂z/∂x and ∂z/∂y, we need to take the partial derivative of the given equation with respect to x and y. We can use the chain rule to find the derivatives, and the derivatives will be multiplied by certain terms from the original equation.
Step-by-step explanation:
To find ∂z/∂x and ∂z/∂y, we first need to take the partial derivative of the given equation with respect to x and y.
Using the chain rule, we have ∂z/∂x = e^(9xyz) * 9yz and ∂z/∂y = e^(9xyz) * 9xz.
Therefore, ∂z/∂x = 9yz * e^(9xyz) and ∂z/∂y = 9xz * e^(9xyz).