f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)" +Ax² ² = ² *

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I am trying to find the derivative of this function. Did I work it out correctly? If not could you please show me the steps for solving?
f(x) == /2²2
f'(x) =
Lim f(x+x) - fax)
AX
Lim
4X40
Lim
Axxo
Lim
3440
Lim
4x46
#
((x+4x) ²-
AX
XX+2×(x) +Ax²-xx
ΔΧ
(2x (4x))+4x2
ΔΥ
AX(2X +4x)"
Ax
:
(x+AX)^2-x-²
AX
=
2x+X
T
2x
Transcribed Image Text:f(x) == /2²2 f'(x) = Lim f(x+x) - fax) AX Lim 4X40 Lim Axxo Lim 3440 Lim 4x46 # ((x+4x) ²- AX XX+2×(x) +Ax²-xx ΔΧ (2x (4x))+4x2 ΔΥ AX(2X +4x)" Ax : (x+AX)^2-x-² AX = 2x+X T 2x
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