Use Part 1 of the Fundamental Theorem of Calculus to Find

question 20

Multiple Choice

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

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

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Definitions:

New Producers

Fresh entrants in a market that introduce additional capacity, innovation, or competition.

Supply Curve

A graphical representation showing the relationship between the price of a good or service and the quantity supplied for a given period.

Producer Surplus

The difference between the amount a producer is willing to accept for a good or service and the actual amount received from its sale.

Supply Curve

A graphical representation showing the quantity of a good that producers are willing to supply at different prices.