Calculus II

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Calculus II

• Section 6.1
• Natural Logarithms

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Definition
The Natural Logarithm Function
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The Derivative of y ln x
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The Derivative of y ln u
If u is a differentiable function of x whose
values are positive, so that ln u is defined,
then applying the chain rule gives
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Example
Find the following derivatives
a) b) c)
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Properties of Natural Logarithms
For any numbers a gt 0 and x gt 0,
1. Product Rule 2. Quotient Rule 3.
Reciprocal Rule 4. Power Rule
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