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:

Demand for Coffee Makers

The desire and ability of consumers to purchase coffee-making machines, influenced by factors such as price, consumer income, and preferences.

Equilibrium Price

The price at which the quantity of a good demanded by consumers equals the quantity supplied by producers, resulting in market balance.

Demand Shift

A change in the quantity of a product or service that consumers are willing and able to buy at all price levels, caused by factors other than the price of the product itself.

Operating Costs

are expenses associated with the day-to-day functioning of a business, such as rent, utilities, and payroll.