1. Find the derivative of the given function. (a) f(x) = e(x² - 1) (b) f(x)= = x² +1 x²-1 (c) f(x) = (x² - 1) ¹0 2. Find the derivative of the given function. (a) f(x) = e4-5 (b) f(x) = - 3x + 1 (c) f(x) = ln (x² - 1) 3. Find the equation of the tangent line to the graph of the given equation at the specified value of a. y=x²e²²; x = -1 4. The cost of producing a teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula. C(r) = 100+ 40r -0.001²

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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1. Find the derivative of the given function.
(a) f(x) = e(x² - 1)
x² +1
x² - 1
(c) f(x) = (x² - 1) ¹0
(b) f(x)=
2. Find the derivative of the given function.
(a) f(x) = e¹-5
(b) f(x) =
(c) f(x) = ln (x² - 1)
x-1
3x + 1
3. Find the equation of the tangent line to the graph of the given equation at the
specified value of a.
y=x²e²²; x = −1
4. The cost of producing a teddy bears per day at the Cuddly Companion Co. is
calculated by their marketing staff to be given by the formula.
C(x) = 100+ 40 -0.001²
%
Q Search L
5
16
40
6
17
+-
&
7
hp
4+
*
8
19
9
f10
W
f
Transcribed Image Text:1. Find the derivative of the given function. (a) f(x) = e(x² - 1) x² +1 x² - 1 (c) f(x) = (x² - 1) ¹0 (b) f(x)= 2. Find the derivative of the given function. (a) f(x) = e¹-5 (b) f(x) = (c) f(x) = ln (x² - 1) x-1 3x + 1 3. Find the equation of the tangent line to the graph of the given equation at the specified value of a. y=x²e²²; x = −1 4. The cost of producing a teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula. C(x) = 100+ 40 -0.001² % Q Search L 5 16 40 6 17 +- & 7 hp 4+ * 8 19 9 f10 W f
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