Cosine functions nd quotient rules other functions e f Inverse of Functions Given 1. Mixing rules: chain, product, sum. Find the derivative of f(x) = e5* (x²+7²) f'(x) = Activate
Cosine functions nd quotient rules other functions e f Inverse of Functions Given 1. Mixing rules: chain, product, sum. Find the derivative of f(x) = e5* (x²+7²) f'(x) = Activate
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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Transcribed Image Text:d cosine functions
t and quotient rules
of other
cric functions
rule
s of Inverse
s of Functions Given
ivatives to Evaluate
erivatives
rivatives to identify
values
erivatives to describe
of functions
Optimization
Optimization
d Rates
efinite Integral
mining distance traveled
velocity
ann Sums
1. Mixing rules: chain, product, sum.
Find the derivative of
f(x) = e³² (x²+7²)
f'(x)
Activate
2. Mixing rules: chain and product.
Find the derivative of
v(t) = te-ct
Assume that c is a constant.
v' (t) =
Activate
3. Using the chain rule repeatedly.
Find the derivative of
y = √e-5² +9
=
Activate
Transcribed Image Text:chai X M MyOpenMat x M MyOpenMat X
lus.org/single/sec-2-5-chain.html
ons
rules
5 Given
valuate
dentify
describe
I
on
Index
gral
A. H(4) if H(x) = F(G(x))
B. H'(4) if H(x) = F(G(x))
C. H (4) if H(x) = G(F(x))
D. H'(4) if H(x) = G(F(x))
E. H'(4) if H(x) = F(x)/G(x)
Activate
(109) Produc X
6. Chain rule with function values.
Given F(4) = 1, F'(4) = 5, F(5) = 4, F'(5) = 6 and
G(1) = 3, G'(1) = 4, G(4) = 5, G'(4) = 6, find each of the following. (Enter
dne for any derivative that cannot be computed from this information
alone.)
7. A product involving a composite function.
Find the derivative of f(x) = 2x sin(6x)
f'(x) =
Activate
M MyOpenMat X M MyOpenMat X M MyOpenMat X
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