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

---

Definitions:

Overhead Costs

Expenses that are not directly tied to the production of goods or services but are required for the business's operation, such as rent, utilities, and salaries.

Cost-oriented Approaches

Pricing strategies that consider the costs of producing, distributing, and selling a product, plus a fair rate of return for effort and risk.

Experience-curve Pricing

A pricing strategy that reduces prices based on the gained efficiency and cost savings from increased production levels over time.

Hydroelectric Power Plants

Facilities that generate electricity by using the flow of water to drive turbines, a renewable and clean source of energy.