2.7 Integrals, Exponential Functions, and Logarithms
LEARNING OBJECTIVES 2.7 Integrals, Exponential Functions, and Logarithms
2.7.1 Write the definition of the natural logarithm as an integral.
2.7.2 Recognize the derivative of the natural logarithm.
2.7.3 Integrate functions involving the natural logarithmic function.
2.7.4 Define the number `e` through an integral.
2.7.5 Recognize the derivative and integral of the exponential function.
2.7.6 Prove properties of logarithms and exponential functions using integrals.
2.7.7 Express general logarithmic and exponential functions in terms of natural logarithms and exponentials.
VIEW 2.7 Integrals, Exponential Functions, and Logarithms
- Ex: Derivatives of the Natural Log Function with the Chain Rule
- Ex: Derivatives of the Natural Log Function with the Product Rule
- Ex: Derivatives of the Natural Log Function using Log Properties
- Ex: Derivative of the Log Function, not base e
- Logarithmic Differentiation
- Ex: Evaluate a Definite Integral Using Substitution (Form 1/u)
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