V3+h-3By definition, limtells us thatThe slope of the line tangent to f(x) = /x is 3%3DВThe slope of the line tangent to f(x) = /3- x is 3.1The slope of the line tangent to f(x) = /x is2/3%3DC1The slope of the line tangent to f(x) = /x +3 is2/3%3D

By definition , limh→0 3+h-3h Here use definition of derivative f'(x) = limh→0 f(x+h)-f(x)hf(x)=x…

Answered: V3+h-3 By definition, lim 0 +4 tells us…

V3+h-3 By definition, lim 0 +4 tells us that A The slope of the line tangent to f(x) = /x is 3 %3D The slope of the line tangent to f(x) = /3- x is 3. %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 27E: Water Flea F. E Smith has reported on population growth of the water flea. In one experiment, he...

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Concept explainers

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 topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

V3+h-3
By definition, lim
tells us that
The slope of the line tangent to f(x) = /x is 3
%3D
В
The slope of the line tangent to f(x) = /3- x is 3.
1
The slope of the line tangent to f(x) = /x is
2/3
%3D
C
1
The slope of the line tangent to f(x) = /x +3 is
2/3
%3D

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