Use the Definition of Partial Derivatives as Limits to Find $f _ { x } ( x , y )$

question 57

Multiple Choice

Use the definition of partial derivatives as limits to find $f _ { x } ( x , y )$ if $f ( x , y ) = 5 x ^ { 2 } - 9 x y + 2 y ^ { 2 }$ .

• A) \(5 y - 9 x\)
• B) \(10 x - 9 y\)
• C) \(10 x - 9\)
• D) \(10 x - 9 x y\)
• E) \(5 x - 9 y\)

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Definitions:

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Neurogenesis is the process of formation of new neurons in the brain, contributing to brain plasticity and regeneration.

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the capacity of the brain to change and adapt in response to experience, injury, or environment, including the formation of new neural connections.

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The study of genetic and environmental influences on behaviors.