Given the Function , Which of the Following Statements

question 73

Multiple Choice

Given the function , which of the following statements is correct?

• A) The slopes of the tangent lines to the graph of this function get steeper as increases.
• B) The rate of change of the slopes of the tangent lines to the graph of this function at is equal to 1.
• C) The rate of change of the slopes of the tangent lines to the graph of this function at is equal to .
• D) The rate of change of the slopes of the tangent lines to the graph of this function at is equal to .
• E) The slopes of the tangent lines to the graph of this function approach 0 as approaches 0.

---

Definitions:

Scientific Revolution

A period from the 16th to the 18th century marked by major changes in thought and belief, primarily in Europe, where traditional scientific beliefs were questioned and new concepts in physics, astronomy, biology, and chemistry emerged.

University of Padua

One of the world's oldest academic institutions, located in Padua, Italy, known for its significant contributions to education and research.

Early Part

Refers to the initial segment or phase of a particular period, process, or event.

Scientific Experiments

Methodical investigations aimed at discovering, interpreting, or revising scientific knowledge, typically involving observation and experimentation.