The limit below represents a derivative ƒ'(a). Find ƒ(x) and a. f(x) = = a = lim h→0 (6 + h)³ – 216 h

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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Use the definition of a derivative to find f'(0) where:
f(x) = {
If the derivative does not exist enter DNE.
f'(0) =
x² sin (¹) x 0
x = 0
0
Transcribed Image Text:Use the definition of a derivative to find f'(0) where: f(x) = { If the derivative does not exist enter DNE. f'(0) = x² sin (¹) x 0 x = 0 0
The limit below represents a derivative ƒ'(a). Find ƒ(x) and a.
f(x)
a =
=
lim
h→0
(6 + h)³ – 216
h
Transcribed Image Text:The limit below represents a derivative ƒ'(a). Find ƒ(x) and a. f(x) a = = lim h→0 (6 + h)³ – 216 h
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