At the Given Point, Find the Slope of the Curve $x ^ { 6 } y ^ { 6 } = 64$

question 59

Multiple Choice

At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve,
as requested.
- $x ^ { 6 } y ^ { 6 } = 64$ , normal at $( 2,1 )$

• A) \(y = 2 x - 3\)
• B) \(y = - \frac { 1 } { 2 } x + 2\)
• C) \(y = \frac { 1 } { 32 } x\)
• D) \(y = - 2 x + 5\)

---

Definitions:

Gastric Motility

The movements of the stomach muscles that mix and propel contents through the digestive system.

Gastric Secretion

The process of producing and releasing fluids such as hydrochloric acid and digestive enzymes by the stomach's glands to aid in digestion.

Cholecystokinin

A hormone that stimulates the digestion of fat and protein by facilitating the digestion and slowing the rate of stomach emptying.

Gastric Secretion

is the process of producing and releasing fluids by the gastric glands in the stomach, including acid, enzymes, and mucus.