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

MA 3972-MA-Book April 11, 2018 17:21 142 STEP 4. Review the Knowledge You Need to Score High no maximum value. The minimum value ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 143 [–1, 1] by [–1, 1] Figure 8.2-2 Example 2 Find the ...

MA 3972-MA-Book April 11, 2018 17:21 144 STEP 4. Review the Knowledge You Need to Score High Solution:(See Figure 8.2-5.) f′ x f ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 145 Example 5 The derivative of a functionf is given as ...

MA 3972-MA-Book April 11, 2018 17:21 146 STEP 4. Review the Knowledge You Need to Score High Iff′(x) changes from positive to n ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 147 Example 2 Find the relative extrema for the functio ...

MA 3972-MA-Book April 11, 2018 17:21 148 STEP 4. Review the Knowledge You Need to Score High Step 3: Determine the intervals. 1 ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 149 concave downward f′′ < 0 f′′ < 0 Figure 8.2-1 ...

MA 3972-MA-Book April 11, 2018 17:21 150 STEP 4. Review the Knowledge You Need to Score High Note that if a point (a,f(a)) is a ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 151 Example 2 Using a calculator, find the values ofxat ...

MA 3972-MA-Book April 11, 2018 17:21 152 STEP 4. Review the Knowledge You Need to Score High Step 4: Set up a table. INTERVALS ( ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 153 Step 4: Set up a table. INTERVALS (−∞,1) X= 1 (1,∞) ...

MA 3972-MA-Book April 11, 2018 17:21 154 STEP 4. Review the Knowledge You Need to Score High The graph indicates that (1) f(5)=0 ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 155 Step 4: Critical numbers: f′(x)= 0 ⇒− 42 x=0orx= 0 ...

MA 3972-MA-Book April 11, 2018 17:21 156 STEP 4. Review the Knowledge You Need to Score High Steps: Domain: all real numbers; R ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 157 [–4, 4] by [–1, 2] Figure 8.3-3 TIP • When evaluati ...

MA 3972-MA-Book April 11, 2018 17:21 158 STEP 4. Review the Knowledge You Need to Score High Example 2 Given the graph of f′in F ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 159 (e) A sketch of the graph offis shown in Figure 8.4 ...

MA 3972-MA-Book April 11, 2018 17:21 160 STEP 4. Review the Knowledge You Need to Score High (c) The functionf is increasing on ...

MA 3972-MA-Book April 11, 2018 17:21 Graphs of Functions and Derivatives 161 (–4, 6) (3, 2) f(x) y x 42 – 3 – 2 – 1 10 3 Figur ...