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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