02 - PPT - 8.1 Der. and Int. Exponential Functionsx - MATH 12 8.1 Differentiation and Integration of Exponential Functions What is again Lesson

02 - PPT - 8.1 Der. and Int. Exponential Functionsx -...

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Unformatted text preview: MATH 12 10/29/19 8.1 Differentiation and Integration of Exponential Functions What is again? Lesson Objective By the end of the lesson, I will be able to… To introduce the number as a limit To compute the derivative of To compute the integral of Describing is a special number: 2. 718 281 828 … is irrational, like Can also be described using limits… Deriving Proof on p528 or final slides Ex1. Find the derivative of the following a) b) c) Ex2. Find the Relative Extrema of… � ( � ) =3 �� � Integrating Exponential Functions Ex3. Integrate the following a) b) Ex4. Evaluate a) b) Ex5. Find the area bounded by and the -axis, for Lesson Objective By the end of the lesson, I will be able to… To introduce the number as a limit To compute the derivative of To compute the integral of Suggested Practice Page 532 #1-31, 35, 39, 47-67, 71-77 (Odd #s) Vocabulary: Natural base, Proof of deriving To find the derivative of y=ex x h x y e e x h e B(x+h, ) slope of AB = x x h x ex A(x, ) = When h0, e x (e h 1) h e x (e h 1) eh 1 x lim lim .e e x h 0 h 0 h h d (e x ) e x dx 1 ...
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