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7.2The Natural Logarithmic and Exponential Function

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7.2The Natural Logarithmic and Exponential Function. Math 6B Calculus II. The Natural Logarithmic Function. The Derivative of y = ln x. Properties of Natural Logarithms. Product Rule Quotient Rule Power Rule Domain and Range. Limits of Natural Logarithms.

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7.2The Natural Logarithmic and Exponential Function

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  1. 7.2The Natural Logarithmic and Exponential Function Math 6B Calculus II

  2. The Natural Logarithmic Function

  3. The Derivative of y = ln x

  4. Properties of Natural Logarithms • Product Rule • Quotient Rule • Power Rule • Domain and Range

  5. Limits of Natural Logarithms

  6. The Integrals of 1/x, tan x,and cot x

  7. Logarithmic Differentiation How to Differentiate y = f (x) > 0 by Logarithmic Differentiation • Take the log of both sides of the equation • Differentiate both sides • d/dx (ln y) = 1/y *dy/dx • Solve for dy/dx • Substitute y = f (x)

  8. Laws of Exponents

  9. The Natural Exponential Function

  10. Properties of the Natural Exponential Function

  11. Differentiation of ex

  12. Integration

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