5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 15:14 CHAPTER 10 Big Idea 2: Derivatives More Applications of Derivatives IN THIS CHAPTER Summary ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 203 Types of Tangent Lines Horizontal Tangents: ( dy dx = ...

MA 3972-MA-Book April 11, 2018 15:14 204 STEP 4. Review the Knowledge You Need to Score High [–.5π, π] by [–4, 4] Figure 10.1-4 ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 205 Set 6x^2 = 6 ⇒x^2 =1orx=±1. Atx=−1,y= 2 x^3 =2(−1)^3 = ...

MA 3972-MA-Book April 11, 2018 15:14 206 STEP 4. Review the Knowledge You Need to Score High Step 3: Find points of tangency. At ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 207 Example 5 Using your calculator, find the value(s) ofx ...

MA 3972-MA-Book April 11, 2018 15:14 208 STEP 4. Review the Knowledge You Need to Score High Normal Lines The normal line to the ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 209 Normal f Tangent Tangent f Normal Figure 10.1-12 Examp ...

MA 3972-MA-Book April 11, 2018 15:14 210 STEP 4. Review the Knowledge You Need to Score High Example 2 Find the point on the gra ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 211 Step 3: Write equation of normal line. mnormal=4; (2, ...

MA 3972-MA-Book April 11, 2018 15:14 212 STEP 4. Review the Knowledge You Need to Score High Example 1 Write an equation of the ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 213 Example 3 The slope of a function at any point (x,y)is ...

MA 3972-MA-Book April 11, 2018 15:14 214 STEP 4. Review the Knowledge You Need to Score High Sincef′(x)=cosxandf′ ( π 6 ) =cos ( ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 215 What is the minimum and maximum acceleration of the pa ...

MA 3972-MA-Book April 11, 2018 15:14 216 STEP 4. Review the Knowledge You Need to Score High Solution: (a) a(t)=v′(t) andv′(t) i ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 217 Step 2: Setv(t) anda(t)=0. Setv(t)= 0 ⇒ 3 t^2 − 12 t+ ...

MA 3972-MA-Book April 11, 2018 15:14 218 STEP 4. Review the Knowledge You Need to Score High 10.4 Rapid Review Write an equatio ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 219 10.5 Practice Problems Part A The use of a calculator ...

MA 3972-MA-Book April 11, 2018 15:14 220 STEP 4. Review the Knowledge You Need to Score High A ball is dropped from the top of ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 221 Evaluate limx→ 100 √x−^100 x− 10 . A functionfis co ...