Suppose That $f$ And $g$ Are Functions That Are Differentiable At $x = 1$

question 57

Short Answer

Suppose that $f$ and $g$ are functions that are differentiable at $x = 1$ and that $f ( 1 ) = 1 , f ^ { \prime } ( 1 ) = - 3 , g$ $( 1 ) = 2$ , and $g ^ { \prime } ( 1 ) = 5$ . Find $h ^ { \prime } ( 1 )$ .
$$h ( x ) = \frac { x f ( x ) } { x + g ( x ) }$$

---

Definitions:

Liquidity

The measure of how quickly and easily an asset can be converted into cash without significantly affecting its value.

Leverage

Describes the use of borrowed capital or debt to increase the potential return of an investment or project.

Asset Management

The process of developing, operating, maintaining, and selling assets in a cost-effective manner, commonly used in finance to refer to managing investments.

Profitability

The state or condition of yielding financial profit or gain, often measured as a ratio of net profits to total assets.