Find the Slope of the Tangent Line of the Graph $f ( x ) = x - 3 x ^ { 2 }$

question 23

Essay

Find the slope of the tangent line of the graph of $f ( x ) = x - 3 x ^ { 2 }$ at the point $( - 1 , - 4 )$ .

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Definitions:

Unrealized Gains

Increases in the value of an asset that has not been sold yet, thus not resulting in actual cash flow or taxable income until the asset is sold.

Trading Securities

Financial instruments such as stocks or bonds that a company holds with the intent of selling them in the short term to profit from price fluctuations.

Broker Commission

A fee paid to a broker for their services, usually a percentage of the transaction value.

Balance Sheet

A financial statement that summarizes a company's assets, liabilities, and shareholders' equity at a specific point in time, providing a basis for computing rates of return and evaluating its capital structure.