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:

Cash Received

The total amount of cash a company collects from its various sources, including operations, financing, and investing activities, during a period.

Indirect Method

A method of computing the net cash provided by operating activities that starts with net income and adjusts it to a cash basis.

Operating Activities

These are the day-to-day actions that are involved in running a business which affect the cash flow but are not investing or financing activities.

Investing Activities

These activities generate cash inflows and outflows related to acquiring or disposing of noncurrent assets such as property, plant, and equipment, long-term investments, and loans to another entity.