Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit which is -4 im and the right-hand limit which is lim z-0 We conclude that f'(0) is

Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit which is -4 im and the right-hand limit which is lim z-0 We conclude that f'(0) is

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

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

Let
3z - 472
for z <0,
f(1) = 3,2 + 3r for z 20.
372 + 3z for I 20.
|
According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit
which is -4
lim
and the right-hand limit
lim
which is
We conclude that f'(0) is

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