Suppose F and G Are Functions That Are Differentiable at ​X​

question 305

Short Answer

Suppose f and g are functions that are differentiable at ​x​ = 5 and that ​f​(5) = 8, ​f​ '(5) = -4, ​g​(5) = -1, and ​g​ '(5) = 3. Find the value of ​h​ '(5).
​

---

Definitions:

Pancreas

An organ in the abdominal cavity that plays a crucial role in digestion and the regulation of blood sugar by producing enzymes and hormones like insulin and glucagon.

Esophagus

A muscular tube that connects the throat to the stomach, transporting swallowed food and liquids.

Throat

The anterior part of the neck, housing the pharynx and vocal cords, and leading to the esophagus and larynx.

Pharynx

The muscular tube that connects the mouth and nasal passages with the esophagus and larynx, serving both respiratory and digestive functions.