Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

question 245

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = 4 - 2 x - x ^ { 2 }$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 2 + 2 x\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 4 - 2 x\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 + 3 x\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 2 - 2 x\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 2 x ^ { 2 } + 2 x\)

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Definitions:

Discount

A reduction on the usual cost of a product or service, typically to stimulate its purchase.

Deadweight Loss

Deadweight loss is a loss of economic efficiency that can occur when the equilibrium for a good or a service is not achieved or is not achievable.

Marginal Cost

The increase or decrease in the total cost incurred by producing one additional unit of a product or service.

Socially Efficient

A situation in which resources are allocated in a way that maximizes the welfare of society as a whole.