Calculate $y^{\prime}$ $y=\frac{e^{x}}{x^{3}}$ A) $y^{\prime}=\frac{e^{x}}{3 x}$ B) $y^{\prime}=e^{x}\left(\frac{x-3}{x^{4}}\right)$ C) $y^{\prime}=e^{x}\left(\frac{x-1}{x^{5}}\right)$ D) $y^{\prime}=e^{x}\left(\frac{x+3}{x^{4}}\right)$ E) $y^{\prime}=e^{x}\left(\frac{x-3}{3 x}\right)$

question 130

Multiple Choice

Calculate $y^{\prime}$ . $y=\frac{e^{x}}{x^{3}}$

• A) \(y^{\prime}=\frac{e^{x}}{3 x}\)
• B) \(y^{\prime}=e^{x}\left(\frac{x-3}{x^{4}}\right)\)
• C) \(y^{\prime}=e^{x}\left(\frac{x-1}{x^{5}}\right)\)
• D) \(y^{\prime}=e^{x}\left(\frac{x+3}{x^{4}}\right)\)
• E) \(y^{\prime}=e^{x}\left(\frac{x-3}{3 x}\right)\)

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Definitions:

Marginal Revenue Curve

Represents the change in total revenue from selling one additional unit of a product or service.

Equilibrium Price

Equilibrium Price is the price at which the quantity of a good or service demanded equals the quantity supplied, resulting in market balance.

Equilibrium Quantity

The quantity of goods or services that is supplied and demanded at the equilibrium price, where demand equals supply.

Non-collusive Oligopolist

A firm in an oligopoly market structure that independently sets prices and output levels without secret agreements with competitors.