If $f ( x , y ) = 6 - 2 x ^ { 2 } - y ^ { 2 }$

question 272

Essay

If $f ( x , y ) = 6 - 2 x ^ { 2 } - y ^ { 2 }$ , find $f _ { x } ( 1,1 )$ and $f _ { y } ( 1,1 )$ and interpret these numbers as slopes. Illustrate with sketches.

---

Definitions:

Doctorate in Medicine

An advanced academic degree for physicians and surgeons, often denoted by the initials M.D.

Eclectic Approach

An approach in psychotherapy that integrates techniques and theories from multiple therapeutic schools and frameworks.

Antipsychotic Drugs

Medications used to treat psychiatric conditions by altering the chemistry of the brain, particularly for conditions such as schizophrenia and bipolar disorder.

Dopamine Receptors

Proteins located on the surface of certain cells, which dopamine binds to in order to exert its effects on mood, movement, and other functions.