Find All Functions F(x) with the Following Property: F'(x) = $x ^ { 2 }$

question 45

Short Answer

Find all functions f(x) with the following property: f'(x) = 3 $x ^ { 2 }$ + 2x + 1.
Enter your answer as a polynomial in x in standard form with any fractional coefficients or powers reduced of form $\frac { a } { b }$ .

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Definitions:

Equilibrium Quantity

The amount of products or services available and sought after at the market's balance price.

Supply Curve

A graphical representation that shows the relationship between the price of a good and the quantity of the good that producers are willing to supply.

Buyer's Value

The maximum amount that a buyer is willing to pay for a good or service, reflecting the personal value the buyer attributes to the product.

Seller's Cost

The total expenses incurred by a seller in producing and selling a product, including manufacturing, labor, and material costs.