$\text { Find the derivative of the function } f ( x ) = - 7 x ^ { 3 } + 4 x ^ { 2 } + 1 \text {. }$

question 1

Multiple Choice

$\text { Find the derivative of the function } f ( x ) = - 7 x ^ { 3 } + 4 x ^ { 2 } + 1 \text {. }$

• A) \(f ^ { t } ( x ) = - 14 x + 4 x ^ { 2 }\)
• B) \(f ^ { t} ( x ) = - 14 x ^ { 2 } + 4 x\)
• C) \(f ^ { t } ( x ) = - 7 x ^ { 2 } + 4 x ^ { 2 } + 1\)
• D) \(f ^ { t } ( x ) = - 21 x ^ { 2 } + 8 x + 1\)
• E) \(f ^ {t } ( x ) = - 21 x ^ { 2 } + 8 x\)

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Definitions:

Penetration Rate

The percentage of a target market that consumes a product or service, indicating the level of acceptance and market saturation.

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A competitive situation where retailers or manufacturers continuously lower prices to undercut competitors, often resulting in decreased profit margins.

Consolidation

The process of combining multiple accounts or businesses into a single aggregation for reporting and analysis purposes, or the decrease in a stock's price volatility and the formation of a clear resistance or support level after a significant price movement.

Cyclical Industries

Industries whose performance is heavily influenced by the economic cycle, experiencing higher sales during economic booms and lower sales during recessions.