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5.1 Logarithmic, Exponential, and Other Transcendental Functions

5.1 Logarithmic, Exponential, and Other Transcendental Functions. The graph and some properties of y = ln x. Continuous, increasing, 1 – 1, and concave downward. ln 1 = 0 ln (ab) = ln a + ln b ln (a n ) = n ln a ln (a/b) = ln a – ln b. Expanding logarithmic expressions.

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5.1 Logarithmic, Exponential, and Other Transcendental Functions

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  1. 5.1 Logarithmic, Exponential, and Other Transcendental Functions The graph and some properties of y = ln x. Continuous, increasing, 1 – 1, and concave downward • ln 1 = 0 • ln (ab) = ln a + ln b • ln (an) = n ln a • ln (a/b) = ln a – ln b

  2. Expanding logarithmic expressions

  3. Derivative of the Natural Logarithmic Function Ex.’s

  4. first, expand it Ex. expand Ex.

  5. Remember Ex.

  6. Using logarithms to differentiate. First, take the ln of both sides. Ex. expand 1

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