The Slope of the Tangent Line to the Graph of the Exponential

question 68

Multiple Choice

The slope of the tangent line to the graph of the exponential function $y = 6 ^ { x }$ at the point $( 0,1 )$ is $\lim _ { x \rightarrow 0 } \frac { 6 ^ { x } - 1 } { x }$ . Estimate the slope to three decimal places.

• A) \(2.197\)
• B) \(1.946\)
• C) \(2.303\)
• D) \(1.792\)
• E) \(1.609\)

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Definitions:

Animatedly

With lively and enthusiastic expression or movements.

Arguing

Engaging in a discussion or dispute with someone in which differing opinions are expressed, often with the aim of persuading the other party.

Characteristically Aggressive

Frequently displaying behavior intended to harm or intimidate others.

Hostile Attribution Bias

The inclination to perceive the actions of others as being motivated by malice, regardless of whether those actions are unclear or harmless.