(Steps Shown) Find ∂ w / ∂ r and ∂ w / \partial θ (a) using the appropriate chain rule and (b) by converging w to a function of r and
Question: Find \(\partial w / \partial r\) and \(\partial w / \partial \theta\) (a) using the appropriate chain rule and (b) by converging w to a function of r and \(\theta \) before differentiating.
\(w=\sqrt{25-5 x^{2}-5 y^{2}}, \quad x=r \cos \theta, \quad y=r \sin \theta\)
Deliverable: Word Document 
![[Steps Shown] Differentiate implicitly to find the](/images/solutions/MC-solution-library-54711.jpg "[Steps Shown] Differentiate implicitly to find the first partial")
[Steps Shown] Differentiate implicitly to find the first partial
(See Solution) Find the directional derivative of the function at P
Solution: Find the directional derivative of the function at
![[Solution Library] Find the directional derivative of](/images/solutions/MC-solution-library-54714.jpg "[Solution Library] Find the directional derivative of the function at P")
[Solution Library] Find the directional derivative of the function at P
(See Steps) Find the gradient of the function and the maximum
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