Find the Derivative of the Function $$g ( x ) = \int _ { 4 } ^ { x ^ { 2 } } 4 \sqrt { 1 + t ^ { 2 } } d t$$

question 33

Short Answer

Find the derivative of the function. $$g ( x ) = \int _ { 4 } ^ { x ^ { 2 } } 4 \sqrt { 1 + t ^ { 2 } } d t$$

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Definitions:

Deadweight Loss

An inefficiency in the market that occurs when supply and demand are out of balance, resulting in lost economic opportunity.

Consumer Surplus

The distinction in the collective amount consumers are disposed and financially able to spend on a product or service, and the collective amount they actually spend.

Profit-Maximizes

A strategy or behavior exhibited by firms aiming to achieve the highest possible profits by adjusting their production levels, prices, and cost structures.

Profit-Maximizing

The tactic or plan of altering production levels and pricing to attain the greatest possible profit.