Calculating derivatives a. For the following functions, find f′ using the definition. b. Determine an equation of the line tangent to the graph of f at ( a , f ( a )) for the given value of a. 51. f ( x ) = 2 3 x + 1 ; a = − 1
Calculating derivatives a. For the following functions, find f′ using the definition. b. Determine an equation of the line tangent to the graph of f at ( a , f ( a )) for the given value of a. 51. f ( x ) = 2 3 x + 1 ; a = − 1
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
use Integration by Parts to derive 12.6.1
Chapter 3 Solutions
Single Variable Calculus: Early Transcendentals Plus MyLab Math with Pearson eText -- Access Card Package (2nd Edition) (Briggs/Cochran/Gillett Calculus 2e)
College Algebra with Modeling & Visualization (5th Edition)
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY