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

question 166

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = x ^ { 2 } - 7 x$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x - 9\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x - 7\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x + 7\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - ( 2 x - 7 )\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x + 6\)

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Definitions:

Statistically Significant

A determination that results in observed data are not likely to be due to chance alone, according to predetermined thresholds in statistical analysis.

Experimental

Relating to a scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

Control Group

In experimental research, a group of subjects that does not receive the treatment being tested and is used as a benchmark to measure how the other tested groups do.

Correlation Coefficient

A statistical measure that indicates the extent to which two variables fluctuate together, ranging from -1 (a perfect negative correlation) to +1 (a perfect positive correlation).