Explanation Given: The given function is f ( x ) = cos ( π x ) Concept Used: 1. Critical points are the points in the domain of the function where the derivative of the function is equal to zero or the derivative does not exist. 2. Second derivative test: If x = c is a critical number of f at which f ″ is defined, then If f ′ ′ ( c ) > 0 , then f has relative minima at x = c . If f ′ ′ ( c ) < 0 , then f has relative maxima at x = c . Calculation: TO-DETERMINE the local extrema of function f ( x ) = cos ( π x ) , first find the critical points, for that find the derivative of the function as, f ′ ( x ) = d d x [ cos ( π x ) ] = − sin ( π x ) d d x ( π x ) = − sin ( π x ) ( π ) = − π sin ( π x ) Now find the points where f ′ ( x ) = 0 or f ′ ( x ) does not exist. Since f ′ ( x ) exists for every x. now, put f ′ ( x ) = 0 to find critical points, as − π sin ( π x ) = 0 ⇒ sin ( π x ) = 0 ⇒ π x = 2 n π , and π x = ( 2 n + 1 ) π ⇒ x = 2 n , and x = 2 n + 1 Where n are integers: n = 0 , ± 1 , ± 2 , ± 3 , .... . Thus, x = 0 , ± π , ± 2 π , ± 3 π , .... are critical points of the given function. Now to find local extrema use second derivative test. For this, first find second derivative offunction as, f ′ ′ ( x ) = d d x f ′ ( x ) = d d x ( − π sin ( π x ) ) = − π d d x sin ( π x ) = − π cos ( π x ) d d x ( π x ) = − π cos ( π x ) ( π ) = − π 2 cos ( π x ) Now find value of f ′ ′ ( x ) at critical points x = 2 n , and x = 2 n + 1 ; i

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

See similar textbooks

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

Videos

Question

Chapter 3.3, Problem 36S

To determine

To find the local extrema of function f(x)=cos(πx) using second-derivative test. And verify the answer using graphing utility.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.3, Problem 35S

Chapter 3.3, Problem 37S

Students have asked these similar questions

Use a graphing calculator to find where the curves intersect and to find the area between the curves. y=ex, y=-x²-4x a. The left point of intersection is (Type integers or decimals rounded to the nearest thousandth as needed. Type an ordered pair.)

Find the area between the curves. x= -5, x=3, y=2x² +9, y=0 The area between the curves is (Round to the nearest whole number as needed.)

can you solve these questions with step by step with clear explaination please

Chapter 3 Solutions

Calculus Combo

Ch. 3.1 - Prob. 1TB Ch. 3.1 - Prob. 0C Ch. 3.1 - Prob. 1C Ch. 3.1 - Prob. 2C Ch. 3.1 - Prob. 3C Ch. 3.1 - Prob. 4C Ch. 3.1 - Prob. 5C Ch. 3.1 - Prob. 6C Ch. 3.1 - Prob. 7C Ch. 3.1 - Prob. 8C

Ch. 3.1 - Prob. 9C Ch. 3.1 - Prob. 10C Ch. 3.1 - Prob. 11C Ch. 3.1 - Prob. 12C Ch. 3.1 - Prob. 13C Ch. 3.1 - Prob. 14C Ch. 3.1 - Prob. 15C Ch. 3.1 - Prob. 16C Ch. 3.1 - Prob. 17C Ch. 3.1 - Prob. 18C Ch. 3.1 - Prob. 19C Ch. 3.1 - Prob. 20C Ch. 3.1 - Prob. 21C Ch. 3.1 - Prob. 22C Ch. 3.1 - Prob. 23S Ch. 3.1 - Prob. 24S Ch. 3.1 - Prob. 25S Ch. 3.1 - Prob. 26S Ch. 3.1 - Prob. 27S Ch. 3.1 - Prob. 28S Ch. 3.1 - Prob. 29S Ch. 3.1 - Prob. 30S Ch. 3.1 - Prob. 31S Ch. 3.1 - Prob. 32S Ch. 3.1 - Prob. 33S Ch. 3.1 - Prob. 34S Ch. 3.1 - Prob. 35S Ch. 3.1 - Prob. 36S Ch. 3.1 - Prob. 37S Ch. 3.1 - Prob. 38S Ch. 3.1 - Prob. 39S Ch. 3.1 - Prob. 40S Ch. 3.1 - Prob. 41S Ch. 3.1 - Prob. 42S Ch. 3.1 - Prob. 43S Ch. 3.1 - Prob. 44S Ch. 3.1 - Prob. 45S Ch. 3.1 - Prob. 46S Ch. 3.1 - Prob. 47S Ch. 3.1 - Prob. 48S Ch. 3.1 - Prob. 49S Ch. 3.1 - Prob. 50S Ch. 3.1 - Prob. 51S Ch. 3.1 - Prob. 52S Ch. 3.1 - Prob. 53S Ch. 3.1 - Prob. 54S Ch. 3.1 - Prob. 55S Ch. 3.1 - Prob. 56S Ch. 3.1 - Prob. 57S Ch. 3.1 - Prob. 58S Ch. 3.1 - Prob. 59S Ch. 3.1 - Prob. 60S Ch. 3.1 - Prob. 61A Ch. 3.1 - Prob. 62A Ch. 3.1 - Prob. 63A Ch. 3.1 - Prob. 64P Ch. 3.1 - Prob. 65P Ch. 3.1 - Prob. 66P Ch. 3.1 - Prob. 67P Ch. 3.1 - Prob. 68P Ch. 3.1 - Prob. 69P Ch. 3.1 - Prob. 1TF Ch. 3.1 - Prob. 2TF Ch. 3.1 - Prob. 3TF Ch. 3.1 - Prob. 4TF Ch. 3.1 - Prob. 5TF Ch. 3.1 - Prob. 6TF Ch. 3.1 - Prob. 7TF Ch. 3.1 - Prob. 8TF Ch. 3.2 - Prob. 1TB Ch. 3.2 - Prob. 2TB Ch. 3.2 - Prob. 3TB Ch. 3.2 - Prob. 0C Ch. 3.2 - Prob. 1C Ch. 3.2 - Prob. 2C Ch. 3.2 - Prob. 3C Ch. 3.2 - Prob. 4C Ch. 3.2 - Prob. 5C Ch. 3.2 - Prob. 6C Ch. 3.2 - Prob. 7C Ch. 3.2 - Prob. 8C Ch. 3.2 - Prob. 9C Ch. 3.2 - Prob. 10C Ch. 3.2 - Prob. 11C Ch. 3.2 - Prob. 12C Ch. 3.2 - Prob. 13C Ch. 3.2 - Prob. 14C Ch. 3.2 - Prob. 15C Ch. 3.2 - Prob. 16C Ch. 3.2 - Prob. 17C Ch. 3.2 - Prob. 18C Ch. 3.2 - Prob. 19S Ch. 3.2 - Prob. 20S Ch. 3.2 - Prob. 21S Ch. 3.2 - Prob. 22S Ch. 3.2 - Prob. 23S Ch. 3.2 - Prob. 24S Ch. 3.2 - Prob. 25S Ch. 3.2 - Prob. 26S Ch. 3.2 - Prob. 27S Ch. 3.2 - Prob. 28S Ch. 3.2 - Prob. 29S Ch. 3.2 - Prob. 30S Ch. 3.2 - Prob. 31S Ch. 3.2 - Prob. 32S Ch. 3.2 - Prob. 33S Ch. 3.2 - Prob. 34S Ch. 3.2 - Prob. 35S Ch. 3.2 - Prob. 36S Ch. 3.2 - Prob. 37S Ch. 3.2 - Prob. 38S Ch. 3.2 - Prob. 39S Ch. 3.2 - Prob. 40S Ch. 3.2 - Prob. 41S Ch. 3.2 - Prob. 42S Ch. 3.2 - Prob. 43S Ch. 3.2 - Prob. 44S Ch. 3.2 - Prob. 45S Ch. 3.2 - Prob. 46S Ch. 3.2 - Prob. 47S Ch. 3.2 - Prob. 48S Ch. 3.2 - Prob. 49S Ch. 3.2 - Prob. 50S Ch. 3.2 - Prob. 51S Ch. 3.2 - Prob. 52S Ch. 3.2 - Prob. 53S Ch. 3.2 - Prob. 54S Ch. 3.2 - Prob. 55S Ch. 3.2 - Prob. 56S Ch. 3.2 - Prob. 57S Ch. 3.2 - Prob. 58S Ch. 3.2 - Prob. 59S Ch. 3.2 - Prob. 60S Ch. 3.2 - Prob. 61S Ch. 3.2 - Prob. 62S Ch. 3.2 - Prob. 63S Ch. 3.2 - Prob. 64S Ch. 3.2 - Prob. 65S Ch. 3.2 - Prob. 66S Ch. 3.2 - Prob. 67S Ch. 3.2 - Prob. 68S Ch. 3.2 - Prob. 69S Ch. 3.2 - Prob. 70S Ch. 3.2 - Prob. 71S Ch. 3.2 - Prob. 72S Ch. 3.2 - Prob. 73S Ch. 3.2 - Prob. 74S Ch. 3.2 - Prob. 75S Ch. 3.2 - Prob. 76S Ch. 3.2 - Prob. 77S Ch. 3.2 - Prob. 78S Ch. 3.2 - Prob. 79S Ch. 3.2 - Prob. 80S Ch. 3.2 - Prob. 81S Ch. 3.2 - Prob. 82S Ch. 3.2 - Prob. 83A Ch. 3.2 - Prob. 84A Ch. 3.2 - Prob. 85A Ch. 3.2 - Prob. 86A Ch. 3.2 - Prob. 87P Ch. 3.2 - Prob. 88P Ch. 3.2 - Prob. 89P Ch. 3.2 - Prob. 90P Ch. 3.2 - Prob. 91P Ch. 3.2 - Prob. 92P Ch. 3.2 - Prob. 1TF Ch. 3.2 - Prob. 2TF Ch. 3.3 - Prob. 1TB Ch. 3.3 - Prob. 2TB Ch. 3.3 - Prob. 0C Ch. 3.3 - Prob. 1C Ch. 3.3 - Prob. 2C Ch. 3.3 - Prob. 3C Ch. 3.3 - Prob. 4C Ch. 3.3 - Prob. 5C Ch. 3.3 - Prob. 6C Ch. 3.3 - Prob. 7C Ch. 3.3 - Prob. 8C Ch. 3.3 - Prob. 9C Ch. 3.3 - Prob. 10C Ch. 3.3 - Prob. 11C Ch. 3.3 - Prob. 12C Ch. 3.3 - Prob. 13C Ch. 3.3 - Prob. 14C Ch. 3.3 - Prob. 15C Ch. 3.3 - Prob. 16C Ch. 3.3 - Prob. 17C Ch. 3.3 - Prob. 18C Ch. 3.3 - Prob. 19C Ch. 3.3 - Prob. 20C Ch. 3.3 - Prob. 21S Ch. 3.3 - Prob. 22S Ch. 3.3 - Prob. 23S Ch. 3.3 - Prob. 24S Ch. 3.3 - Prob. 25S Ch. 3.3 - Prob. 26S Ch. 3.3 - Prob. 27S Ch. 3.3 - Prob. 28S Ch. 3.3 - Prob. 29S Ch. 3.3 - Prob. 30S Ch. 3.3 - Prob. 31S Ch. 3.3 - Prob. 32S Ch. 3.3 - Prob. 33S Ch. 3.3 - Prob. 34S Ch. 3.3 - Prob. 35S Ch. 3.3 - Prob. 36S Ch. 3.3 - Prob. 37S Ch. 3.3 - Prob. 38S Ch. 3.3 - Prob. 39S Ch. 3.3 - Prob. 40S Ch. 3.3 - Prob. 41S Ch. 3.3 - Prob. 42S Ch. 3.3 - Prob. 43S Ch. 3.3 - Prob. 44S Ch. 3.3 - Prob. 45S Ch. 3.3 - Prob. 46S Ch. 3.3 - Prob. 47S Ch. 3.3 - Prob. 48S Ch. 3.3 - Prob. 49S Ch. 3.3 - Prob. 50S Ch. 3.3 - Prob. 51S Ch. 3.3 - Prob. 52S Ch. 3.3 - Prob. 53S Ch. 3.3 - Prob. 54S Ch. 3.3 - Prob. 55S Ch. 3.3 - Prob. 56S Ch. 3.3 - Prob. 57S Ch. 3.3 - Prob. 58S Ch. 3.3 - Prob. 59S Ch. 3.3 - Prob. 60S Ch. 3.3 - Prob. 61S Ch. 3.3 - Prob. 62S Ch. 3.3 - Prob. 63S Ch. 3.3 - Prob. 64S Ch. 3.3 - Prob. 65S Ch. 3.3 - Prob. 66S Ch. 3.3 - Prob. 67S Ch. 3.3 - Prob. 68S Ch. 3.3 - Prob. 69S Ch. 3.3 - Prob. 70S Ch. 3.3 - Prob. 71S Ch. 3.3 - Prob. 72S Ch. 3.3 - Prob. 73S Ch. 3.3 - Prob. 74S Ch. 3.3 - Prob. 75S Ch. 3.3 - Prob. 76S Ch. 3.3 - Prob. 77S Ch. 3.3 - Prob. 78S Ch. 3.3 - Prob. 79S Ch. 3.3 - Prob. 80S Ch. 3.3 - Prob. 81S Ch. 3.3 - Prob. 82S Ch. 3.3 - Prob. 83S Ch. 3.3 - Prob. 84S Ch. 3.3 - Prob. 85S Ch. 3.3 - Prob. 86S Ch. 3.3 - Prob. 87A Ch. 3.3 - Prob. 88A Ch. 3.3 - Prob. 89A Ch. 3.3 - Prob. 90A Ch. 3.3 - Prob. 91P Ch. 3.3 - Prob. 92P Ch. 3.3 - Prob. 93P Ch. 3.3 - Prob. 94P Ch. 3.3 - Prob. 95P Ch. 3.3 - Prob. 1TF Ch. 3.3 - Prob. 2TF Ch. 3.4 - Prob. 1TB Ch. 3.4 - Prob. 2TB Ch. 3.4 - Prob. 0C Ch. 3.4 - Prob. 1C Ch. 3.4 - Prob. 2C Ch. 3.4 - Prob. 3C Ch. 3.4 - Prob. 4C Ch. 3.4 - Prob. 5C Ch. 3.4 - Prob. 6C Ch. 3.4 - Prob. 7C Ch. 3.4 - Prob. 8C Ch. 3.4 - Prob. 9C Ch. 3.4 - Prob. 10C Ch. 3.4 - Prob. 11S Ch. 3.4 - Prob. 12S Ch. 3.4 - Prob. 13S Ch. 3.4 - Prob. 14S Ch. 3.4 - Prob. 15S Ch. 3.4 - Prob. 16S Ch. 3.4 - Prob. 17S Ch. 3.4 - Prob. 18S Ch. 3.4 - Prob. 19S Ch. 3.4 - Prob. 20S Ch. 3.4 - Prob. 21S Ch. 3.4 - Prob. 22S Ch. 3.4 - Prob. 23S Ch. 3.4 - Prob. 24S Ch. 3.4 - Prob. 25S Ch. 3.4 - Prob. 26S Ch. 3.4 - Prob. 27S Ch. 3.4 - Prob. 28S Ch. 3.4 - Prob. 29S Ch. 3.4 - Prob. 30S Ch. 3.4 - Prob. 31S Ch. 3.4 - Prob. 32S Ch. 3.4 - Prob. 33S Ch. 3.4 - Prob. 34S Ch. 3.4 - Prob. 35A Ch. 3.4 - Prob. 36A Ch. 3.4 - Prob. 37A Ch. 3.4 - Prob. 38A Ch. 3.4 - Prob. 39A Ch. 3.4 - Prob. 40A Ch. 3.4 - Prob. 41A Ch. 3.4 - Prob. 42A Ch. 3.4 - Prob. 43A Ch. 3.4 - Prob. 44A Ch. 3.4 - Prob. 45A Ch. 3.4 - Prob. 46A Ch. 3.4 - Prob. 47A Ch. 3.4 - Prob. 48A Ch. 3.4 - Prob. 49A Ch. 3.4 - Prob. 50A Ch. 3.4 - Prob. 51A Ch. 3.4 - Prob. 52A Ch. 3.4 - Prob. 53A Ch. 3.4 - Prob. 54A Ch. 3.4 - Prob. 55A Ch. 3.4 - Prob. 56A Ch. 3.4 - Prob. 57A Ch. 3.4 - Prob. 58A Ch. 3.4 - Prob. 59A Ch. 3.4 - Prob. 60A Ch. 3.4 - Prob. 61A Ch. 3.4 - Prob. 62A Ch. 3.4 - Prob. 63P Ch. 3.4 - Prob. 64P Ch. 3.4 - Prob. 1TF Ch. 3.4 - Prob. 2TF Ch. 3.4 - Prob. 3TF Ch. 3.4 - Prob. 4TF Ch. 3.4 - Prob. 5TF Ch. 3.5 - Prob. 1TB Ch. 3.5 - Prob. 2TB Ch. 3.5 - Prob. 0C Ch. 3.5 - Prob. 1C Ch. 3.5 - Prob. 2C Ch. 3.5 - Prob. 3C Ch. 3.5 - Prob. 4C Ch. 3.5 - Prob. 5C Ch. 3.5 - Prob. 6C Ch. 3.5 - Prob. 7C Ch. 3.5 - Prob. 8C Ch. 3.5 - Prob. 9C Ch. 3.5 - Prob. 10C Ch. 3.5 - Prob. 11C Ch. 3.5 - Prob. 12C Ch. 3.5 - Prob. 13C Ch. 3.5 - Prob. 14C Ch. 3.5 - Prob. 15C Ch. 3.5 - Prob. 16C Ch. 3.5 - Prob. 17C Ch. 3.5 - Prob. 18C Ch. 3.5 - Prob. 19S Ch. 3.5 - Prob. 20S Ch. 3.5 - Prob. 21S Ch. 3.5 - Prob. 22S Ch. 3.5 - Prob. 23S Ch. 3.5 - Prob. 24S Ch. 3.5 - Prob. 25S Ch. 3.5 - Prob. 26S Ch. 3.5 - Prob. 27S Ch. 3.5 - Prob. 28S Ch. 3.5 - Prob. 29S Ch. 3.5 - Prob. 30S Ch. 3.5 - Prob. 31S Ch. 3.5 - Prob. 32S Ch. 3.5 - Prob. 33S Ch. 3.5 - Prob. 34S Ch. 3.5 - Prob. 35S Ch. 3.5 - Prob. 36S Ch. 3.5 - Prob. 37A Ch. 3.5 - Prob. 38A Ch. 3.5 - Prob. 39A Ch. 3.5 - Prob. 40A Ch. 3.5 - Prob. 41A Ch. 3.5 - Prob. 42A Ch. 3.5 - Prob. 43A Ch. 3.5 - Prob. 44A Ch. 3.5 - Prob. 45A Ch. 3.5 - Prob. 46A Ch. 3.5 - Prob. 47A Ch. 3.5 - Prob. 48A Ch. 3.5 - Prob. 49A Ch. 3.5 - Prob. 50A Ch. 3.5 - Prob. 51A Ch. 3.5 - Prob. 52A Ch. 3.5 - Prob. 53A Ch. 3.5 - Prob. 54A Ch. 3.5 - Prob. 55A Ch. 3.5 - Prob. 56A Ch. 3.5 - Prob. 57A Ch. 3.5 - Prob. 58A Ch. 3.5 - Prob. 59A Ch. 3.5 - Prob. 60A Ch. 3.5 - Prob. 61A Ch. 3.5 - Prob. 62P Ch. 3.5 - Prob. 63P Ch. 3.5 - Prob. 64P Ch. 3.5 - Prob. 65P Ch. 3.5 - Prob. 1TF Ch. 3.5 - Prob. 2TF Ch. 3.5 - Prob. 3TF Ch. 3.5 - Prob. 4TF Ch. 3.6 - Prob. 1TB Ch. 3.6 - Prob. 2TB Ch. 3.6 - Prob. 0C Ch. 3.6 - Prob. 1C Ch. 3.6 - Prob. 2C Ch. 3.6 - Prob. 3C Ch. 3.6 - Prob. 4C Ch. 3.6 - Prob. 5C Ch. 3.6 - Prob. 6C Ch. 3.6 - Prob. 7C Ch. 3.6 - Prob. 8C Ch. 3.6 - Prob. 9C Ch. 3.6 - Prob. 10C Ch. 3.6 - Prob. 11C Ch. 3.6 - Prob. 12C Ch. 3.6 - Prob. 13C Ch. 3.6 - Prob. 14C Ch. 3.6 - Prob. 15S Ch. 3.6 - Prob. 16S Ch. 3.6 - Prob. 17S Ch. 3.6 - Prob. 18S Ch. 3.6 - Prob. 19S Ch. 3.6 - Prob. 20S Ch. 3.6 - Prob. 21S Ch. 3.6 - Prob. 22S Ch. 3.6 - Prob. 23S Ch. 3.6 - Prob. 24S Ch. 3.6 - Prob. 25S Ch. 3.6 - Prob. 26S Ch. 3.6 - Prob. 27S Ch. 3.6 - Prob. 28S Ch. 3.6 - Prob. 29S Ch. 3.6 - Prob. 30S Ch. 3.6 - Prob. 31S Ch. 3.6 - Prob. 32S Ch. 3.6 - Prob. 33S Ch. 3.6 - Prob. 34S Ch. 3.6 - Prob. 35S Ch. 3.6 - Prob. 36S Ch. 3.6 - Prob. 37S Ch. 3.6 - Prob. 38S Ch. 3.6 - Prob. 39S Ch. 3.6 - Prob. 40S Ch. 3.6 - Prob. 41S Ch. 3.6 - Prob. 42S Ch. 3.6 - Prob. 43S Ch. 3.6 - Prob. 44S Ch. 3.6 - Prob. 45S Ch. 3.6 - Prob. 46S Ch. 3.6 - Prob. 47S Ch. 3.6 - Prob. 48S Ch. 3.6 - Prob. 49S Ch. 3.6 - Prob. 50S Ch. 3.6 - Prob. 51S Ch. 3.6 - Prob. 52S Ch. 3.6 - Prob. 53S Ch. 3.6 - Prob. 54S Ch. 3.6 - Prob. 55S Ch. 3.6 - Prob. 56S Ch. 3.6 - Prob. 57S Ch. 3.6 - Prob. 58S Ch. 3.6 - Prob. 59S Ch. 3.6 - Prob. 60S Ch. 3.6 - Prob. 61S Ch. 3.6 - Prob. 62S Ch. 3.6 - Prob. 63S Ch. 3.6 - Prob. 64S Ch. 3.6 - Prob. 65S Ch. 3.6 - Prob. 66S Ch. 3.6 - Prob. 67S Ch. 3.6 - Prob. 68S Ch. 3.6 - Prob. 69S Ch. 3.6 - Prob. 70S Ch. 3.6 - Prob. 71S Ch. 3.6 - Prob. 72S Ch. 3.6 - Prob. 73S Ch. 3.6 - Prob. 74S Ch. 3.6 - Prob. 75S Ch. 3.6 - Prob. 76S Ch. 3.6 - Prob. 77S Ch. 3.6 - Prob. 78S Ch. 3.6 - Prob. 79S Ch. 3.6 - Prob. 80S Ch. 3.6 - Prob. 81S Ch. 3.6 - Prob. 82S Ch. 3.6 - Prob. 83S Ch. 3.6 - Prob. 84S Ch. 3.6 - Prob. 85S Ch. 3.6 - Prob. 86S Ch. 3.6 - Prob. 87A Ch. 3.6 - Prob. 88A Ch. 3.6 - Prob. 89A Ch. 3.6 - Prob. 90P Ch. 3.6 - Prob. 91P Ch. 3.6 - Prob. 92P Ch. 3.6 - Prob. 93P Ch. 3.6 - Prob. 94P Ch. 3.6 - Prob. 95P Ch. 3.6 - Prob. 1TF Ch. 3.6 - Prob. 2TF Ch. 3.6 - Prob. 3TF Ch. 3.6 - Prob. 4TF Ch. 3 - Prob. 1D Ch. 3 - Prob. 2D Ch. 3 - Prob. 3D Ch. 3 - Prob. 4D Ch. 3 - Prob. 5D Ch. 3 - Prob. 6D Ch. 3 - Prob. 1T Ch. 3 - Prob. 2T Ch. 3 - Prob. 3T Ch. 3 - Prob. 4T Ch. 3 - Prob. 5T Ch. 3 - Prob. 6T Ch. 3 - Prob. 7T Ch. 3 - Prob. 8T Ch. 3 - Prob. 9T Ch. 3 - Prob. 10T Ch. 3 - Prob. 11T Ch. 3 - Prob. 12T Ch. 3 - Prob. 13T Ch. 3 - Prob. 14T Ch. 3 - Prob. 1GFT Ch. 3 - Prob. 2GFT Ch. 3 - Prob. 3GFT Ch. 3 - Prob. 4GFT Ch. 3 - Prob. 5GFT Ch. 3 - Prob. 6GFT Ch. 3 - Prob. 7GFT Ch. 3 - Prob. 8GFT Ch. 3 - Prob. 9GFT Ch. 3 - Prob. 1SC Ch. 3 - Prob. 2SC Ch. 3 - Prob. 3SC Ch. 3 - Prob. 4SC Ch. 3 - Prob. 5SC Ch. 3 - Prob. 6SC Ch. 3 - Prob. 7SC Ch. 3 - Prob. 8SC Ch. 3 - Prob. 9SC Ch. 3 - Prob. 10SC Ch. 3 - Prob. 11SC Ch. 3 - Prob. 12SC Ch. 3 - Prob. 13SC Ch. 3 - Prob. 14SC Ch. 3 - Prob. 15SC Ch. 3 - Prob. 16SC Ch. 3 - Prob. 17SC Ch. 3 - Prob. 18SC Ch. 3 - Prob. 19SC Ch. 3 - Prob. 20SC Ch. 3 - Prob. 21SC Ch. 3 - Prob. 22SC Ch. 3 - Prob. 23SC Ch. 3 - Prob. 24SC Ch. 3 - Prob. 25SC Ch. 3 - Prob. 26SC Ch. 3 - Prob. 27SC Ch. 3 - Prob. 28SC Ch. 3 - Prob. 29SC Ch. 3 - Prob. 30SC Ch. 3 - Prob. 31SC Ch. 3 - Prob. 32SC Ch. 3 - Prob. ACP Ch. 3 - Prob. BCP Ch. 3 - Prob. CCP Ch. 3 - Prob. DCP

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To find the local extrema of function f ( x ) = cos ( π x ) using second-derivative test. And verify the answer using graphing utility.

Solution Summary: The author explains how to find the local extrema of function f(x)=mathrmcos

Concept explainers

Videos

To find the local extrema of function f(x)=cos(πx) using second-derivative test. And verify the answer using graphing utility.

Want to see the full answer?

Chapter 3 Solutions