Answered: exists and is finite, we call this…

exists and is finite, we call this limit the derivative of f at x and say that f is differentiable at x. 1 EX-1- Find the derivative of the function : f(x)3=D 2x+3 ol.:

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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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

Chapter three
Derivatives
Let y=f(x) be a function of x. If the limit :
Ay
= lim
Aro Ax
dy
f(x+Ax)-f(x)
= f'(x)= lim
dx
Ar
exists and is finite, we call this limit the derivative of f at x and say
that f is differentiable at x.
1
EX-1- Find the derivative of the function : f(x)=D
|
2x+3
ol.:

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