Use Part 1 of the Fundamental Theorem of Calculus to Find

question 83

Multiple Choice

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
$$h ( x ) = \int _ { 1 } ^ { \sqrt { x } } \frac { 5 z ^ { 2 } } { z ^ { 4 } + 1 } d z$$

• A) \(\frac { 5 \sqrt { x } } { x ^ { 2 } + 1 }\)
• B) \(\frac { \sqrt { x ^ { 2 } + 1 } } { 5 }\)
• C)
• \(\frac { 5 \sqrt { x } } { 2 \left( x ^ { 2 } + 1 \right) }\)
• D) \(\frac { \sqrt { x + 5 } } { x ^ { 2 } + 5 }\)
• E) none of these

---

Definitions:

Outcome Satisfies

The result of an action or process meets the expectations or requirements set forth.

Expectancy Theory

A psychological theory that suggests an individual's motivation is influenced by the expected outcome and the value placed on that outcome.

Employee Motivation

The degree of enthusiasm, dedication, and innovation that employees of a business contribute to their roles.

Instrumentality

In the context of motivation, the perception that a particular level of performance will lead to the attainment of desired outcomes or rewards.