Calculus
Activity:
Natural Logarithm
Posted on Mar 11, 2010
Topic: Derivatives
Students use the derivative of the natural logarithm to discover properties of the graph of its graph.
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Activity Key Steps:
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This lesson involves constructing the graph of the natural logarithm function from its definition.
Students will start by using the definition of the natural logarithm function to relate the value of the function to the area under a curve.
Students will use the Fundamental Theorem of Calculus to compute the derivative of the natural logarithm function. They will use the derivative (1/x) of the natural logarithm to determine the properties of its graph.