Find $\frac { d y } { d x }$ By Implicit Differentiation

question 31

Essay

Find $\frac { d y } { d x }$ by implicit differentiation. $8 \sqrt { x } + \sqrt { y } = 8$

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Definitions:

Hip Joint

A ball-and-socket joint that connects the femur (thigh bone) to the pelvis, allowing for a wide range of movement.

Insertions

The points at which tendons attach muscles to bones, often referred to as the ending point of a muscle.

Gastrocnemius Muscle

A major muscle located at the back part of the lower leg, contributing to plantar flexion (pointing the toes) and knee flexion, playing a crucial role in walking, running, and jumping.

Dorsiflexion

The action of raising the foot upwards towards the shin, decreasing the angle between the dorsum (top) of the foot and the leg.