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

question 29

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = 2 x + 1$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 3\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 1\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 3\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 2\)

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Definitions:

Fixed Costs

Costs that do not change with the volume of production or sales, such as rent, salaries, and insurance premiums.

Business Plan

A formal document detailing the goals, strategy, market, and financial projections for a business's operations.

Operating Income

The profit realized from a business's core operations, excluding deductions of interest and taxes.

Variable Cost

A cost that changes in proportion to the level of activity or volume of output in a business.