Explanation Given: Function ‘f’ is continuous and differentiable Function f has zeroes at x = -4, x = 1 and x = 2 The given interval is [ − 4 , 2 ] Calc

Calculus

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Question

Chapter 3.1, Problem 7C

To determine

The effect on the derivative in the given interval

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Chapter 3.1, Problem 6C

Chapter 3.1, Problem 8C

Chapter 3 Solutions

Calculus

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 - 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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 - 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ACP Ch. 3 - Prob. BCP Ch. 3 - Prob. CCP Ch. 3 - Prob. DCP

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The effect on the derivative in the given interval

Solution Summary: The author calculates that the derivative of the function f' will have at least two zeroes in the given interval.

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The effect on the derivative in the given interval

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Chapter 3 Solutions