3.1 Polynomial & Exponential Derivatives

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Presentation transcript:

3.1 Polynomial & Exponential Derivatives

Constant Rule: Power Rule:

Find f’(x): Ex 1:

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

Natural Exponential Function:

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

3.2 Product Rule & Quotient Rule

Product Rule:

Quotient Rule:

Find f  (x) Ex 1:

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

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

HW – 3.1 pg. 189 #3 – 31 odd #39, 45, 49 3.2 pg. 195 # 3 - 21 odd, 27, 31, 33, 38

Definition of e: the number such that

Definition of e: the number such that