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Calculus Derivatives & Exponential Functions | Learn Rules & Solving Techniques

Understand Polynomial & Exponential Derivatives with the Power Rule. Solve for f’(x), find tangent line points, and learn Product & Quotient Rules. Practice problems included.

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Calculus Derivatives & Exponential Functions | Learn Rules & Solving Techniques

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  1. 3.1 Polynomial & Exponential Derivatives

  2. Constant Rule: Power Rule:

  3. Find f’(x): • Ex 1:

  4. Find points on the curve where the tangent line is horizontal: Ex 2:

  5. Natural Exponential Function:

  6. Ex 3: At what point on the curve y = ex, is the tangent line parallel to the line y = 2x?

  7. 3.2 Product Rule & Quotient Rule

  8. Product Rule:

  9. Quotient Rule:

  10. Find f  (x) Ex 1:

  11. Ex 2: If where g(4) = 2 and g(4) = 3, find f(4).

  12. Find the equation of the tangent line to f(x)at (1, e2): Ex 3:

  13. HW – 3.1 pg. 189 #3 – 31 odd#39, 45, 493.2 pg. 195# 3 - 21 odd, 27, 31, 33, 38

  14. Definition of e: the number such that

  15. Definition of e: the number such that

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