CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Assignment 1: Derive the Product Rule formula using the definition of a derivative. Your derivation should be
neat and clear so that any Calculus student can follow. After EVERY STEP, write one sentence explaining your
logic. The following are a few definitions and tips:
(1)
Definition of the derivative:
lim
h→0
f (x+h)-f(x)
h
(2)
Use a "magic trick":
-f(x + h)g(x) + f(x + h)g(x)
(this expression is = 0, so essentially we did not change anything)
(3)
Factor out f (x + h) and g(x):
-f(x + h)g(x) + f(x + h)g(x)
To start you off, using the definition of a derivative:
f(x + h)g(x + h)
lim
h→0
-f(x)g(x)
h
Calculus - (Show all work, no calculator)
Real Analysis 1 :Please quickly , only choose the correct answer
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