If $z ( x , y ) = f \left( x ^ { 2 } - y ^ { 2 } \right)$

question 85

Essay

If $z ( x , y ) = f \left( x ^ { 2 } - y ^ { 2 } \right)$ , then simplify $y \frac { \partial z } { \partial x } + x \frac { \partial z } { \partial y }$ .

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Definitions:

Dreaming

A series of thoughts, images, and sensations occurring in a person's mind during sleep.

Memory Consolidation

The process by which short-term memories are transformed into long-term memories.

Memory Errors

Mistakes or inaccuracies in the recall or recognition of information from memory, including forgetting, distortions, or fabrications.

Stimulants

Substances that increase activity in the central nervous system or the sympathetic nervous system, leading to increased alertness and physical activity.