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3.8 Exponential & Logarithmic Derivatives

3.8 Exponential & Logarithmic Derivatives. Exponential Function. Log Functions. Ex 1 : Find y’. Ex 2 : Evaluate. Logarithmic Differentiation : Take ln of both sides Use Log Laws to split into separate ln ’s Differentiate Implicitly Solve for y’. Ex 3 : Find y’. Constant Rule

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3.8 Exponential & Logarithmic Derivatives

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  1. 3.8 Exponential & Logarithmic Derivatives

  2. Exponential Function

  3. Log Functions

  4. Ex 1: Find y’

  5. Ex 2: Evaluate

  6. Logarithmic Differentiation: • Take ln of both sides • Use Log Laws to split into separate ln’s • Differentiate Implicitly • Solve for y’

  7. Ex 3: Find y’

  8. Constant Rule • Power Rule 4 cases:

  9. Exponential Function • Function Raised to a Function 4 cases:

  10. HW – 3.8 pg. 245#3, 7, 11, 17, 19, 21, 29, 41, 48

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