Find the Function Given That the Slope of the Tangent

question 51

Essay

Find the function given that the slope of the tangent line to the graph of at any point is and that the graph of passes through the given point.

---

Definitions:

Abundant Volcanism

The frequent or intense volcanic activity in a given area, leading to the formation of numerous volcanoes.

Basin

A large, bowl-shaped depression in the Earth's surface, often drained by a major river and its tributaries.

Volcanic Unit

A segment of the Earth's crust formed by volcanic activity, characterized by a distinct composition and age.

Eruption

The discharge of lava, ash, and gases from a volcano or other opening in the Earth's surface.