AylimAz 0 Azf(z+ Az) – f(z)limdyAz-0Az(a) First, evaluate Ay = f(z + Az) – f(x) and express it in the form Ay = L(z, Az) · Az. Use dz to represent Az.Ay =!!Azdy(b) Using the L(z, Az) Az above, find the simplified derivativeAylimAr 0 AzAylimAr 0 Az!!dz山 For f(z) = 2z, finddyusing the definition,%3D

The limit definition of a derivative of a function, f(x) at a point, x=a is given by .

Answered: For f(z) = 2z', find ip using the…

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Calculus

For f(z) = 2z', find ip using the definition,

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Ay
lim
Az 0 Az
f(z+ Az) – f(z)
lim
dy
Az-0
Az
(a) First, evaluate Ay = f(z + Az) – f(x) and express it in the form Ay = L(z, Az) · Az. Use dz to represent Az.
Ay =
!!
Az
dy
(b) Using the L(z, Az) Az above, find the simplified derivative
Ay
lim
Ar 0 Az
Ay
lim
Ar 0 Az
!!
dz
山

For f(z) = 2z, find
dy
using the definition,
%3D

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