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Home  /  Calculus: A Complete Course (10e)  /  Chapter 3 · Transcendental Functions
Section 3.3

The Natural Logarithm and Exponential

Definition of ln as integral; e as the base of the natural exponential; derivatives and integrals of e^x and ln(x).

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Chapter 3 · Transcendental Functions
3.1 3.2 3.3 3.4 3.5 3.6
Lesson

Lesson on Derivatives of Inverse Functions and the Natural Logarithm

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Lesson

Lesson on How to Find the Derivatives of a^x and log_a(x)

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Examples

Examples of Derivatives of Exponentials and Logarithms

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Examples

Examples of Using Properties of Logarithms to Simplify Derivatives

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Lesson

Lesson on How to Use Logarithmic Differentiation

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Examples

Examples of Logarithmic Differentiation

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Lesson

Lesson on How to Find Derivatives of Inverse Trig Functions

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Examples

Examples of Finding Derivatives of Inverse Trig Functions

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Lesson

Lesson on The Logarithm Defined as an Integral

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Examples

Examples of Integration Problems with Logarithms and Exponentials

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Examples

Examples of Initial Value Problems with Logarithms and Exponentials

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