Use Implicit Differentiation to Find the Specified Derivative at the Given

question 156

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { d y } { d x }$ at the point $( - 1,1 )$ for $3 x - \frac { 3 } { y } + 2 x ^ { 2 } y ^ { 2 } = 0$ .

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 7 }\)
• C) - 1
• D) \(- \frac { 1 } { 7 }\)

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Definitions:

Myokinesis

Myokinesis refers to the movement or activity of muscles.

Muscular Motion

Refers to the movement generated by muscle contractions, enabling the body to perform various physical tasks.

Abductor

A muscle whose contraction moves a limb or part away from the midline of the body or from another part.

Toward

In the direction of something or someone, indicating movement or orientation relative to a particular point or location.