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

question 112

Multiple Choice

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

• A) \(- \frac { 2 x } { \left( x ^ { 2 } + 2 \right) ^ { 2 } }\)
• B) \(- \frac { 2 } { 9 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { x ^ { 2 } + 2 }\)

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APR

Annual Percentage Rate, encompassing the annual rate charged for borrowing or earned through an investment, inclusive of any fees or additional costs.

Dollar-Weighted Return

A measure of an investment's performance that takes into account the timing and amount of all cash inflows and outflows.

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The average rate of return on an investment that is calculated by multiplying n variables and then taking the n-th root of the product.

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The simple mean of a set of returns, calculated by summing the returns over a period and dividing by the number of periods.