Use Implicit Differentiation to Determine $\frac{d y}{d x}$ Where $x ^ { 2 }$

question 16

True/False

Use implicit differentiation to determine $\frac{d y}{d x}$
where $x ^ { 2 }$ + $y ^ { 2 }$ = 4. Is $\frac { d y } { d x } = \frac { x } { y }$ correct?

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Definitions:

Scapula

The technical term for the shoulder blade, a flat triangular bone located on the posterior side of the ribcage that connects the humerus (upper arm bone) with the clavicle (collarbone).

Levator Scapulae

A muscle located in the neck and back that elevates the scapula (shoulder blade).

Serratus Anterior

A muscle on the side of the chest that helps rotate the arm and move it away from the body.

Pectoralis Minor

A thin, triangular muscle located beneath the Pectoralis Major in the chest, involved in functions like scapula downward rotation, depression, and anterior tilt.