Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = e^(r) cos(θ), r = st, θ = s^8 + t^8
Added by Domingo M.
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First, we need to find the partial derivatives of z with respect to r and θ: $$ \frac{\partial z}{\partial r} = e^r \cos(\theta) $$ $$ \frac{\partial z}{\partial \theta} = -e^r \sin(\theta) $$ Now, we need to find the partial derivatives of r and θ with respect Show more…
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