Use Implicit Differentiation to Find $\frac { d y } { d x }$

question 75

Multiple Choice

Use implicit differentiation to find $\frac { d y } { d x }$ . $9 e ^ { xy } + y ^ { 2 } = 15$

• A) \(\frac { d y } { d x } = \frac { 9 y e ^ { xy } } { 9 e ^ { x y } + 2 y }\)
• B) \(\frac { d y } { d x } = \frac { 9 y e ^ { xy } } { 9 e ^ { x y } - 2 y }\)
• C) \(\frac { d y } { d x } = - \frac { 9 e ^ { x y } } { 9 e ^ { xy } x - 2 y }\)
• D) \(\frac { d y } { d x } = - \frac { 9 y e ^ { xy } } { 9 e ^ { xy } x + 2 y }\)
• E) \(\frac { d y } { d x } = - \frac { 9 y e ^ { x y } } { 9 e ^ { xy } x + y }\)

---

Definitions:

Endogenous Personality Descriptors

Traits or attributes that originate from within the individual, rather than being influenced by external environmental factors.

Lexicon

The vocabulary of a language, or a specific individual or field of study.

Triandis

Harry Triandis, a social psychologist known for his work on individualism and collectivism in cross-cultural psychology.

Horizontal Societies

Societies characterized by valuing equality and discouraging hierarchical distinctions between individuals, promoting an ethos of egalitarianism.