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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Question
activity 1 only
![Activity 1: Use the Rules of Differentiation to differentiate the following functions:
a. f(x) = 2x³ + 6x
b. g(x) = 7x* – 3x²
C. y(x) = (4x)³ – 18x² + 6x
d. h(x) = (3x + 4)²
e. h(x) = 9x²/3 +
Activity 2: Find the derivative of each of the following functions:
a. f(u) = (4u + 5)(7u³ – 2u)
d. g(s) = 35-s
s2+1
f. f(r)=(r^2+2r-3)(3r+4)
g. g(b)=(3b-4)/(b+5) (2b+5)
Activity 3: Find and simply the result, if possible.
a. y = vĩ -
b. y = x? + n² + x*
C. y = x² secx
sinx-1
d. y =
cosx
e. y =
e+2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e731e8b-7bcc-4d84-8b5e-5e1f56fec97e%2F107b5d3e-61a1-43f3-a75d-ec41281bf490%2Fu6zt2wm_processed.png&w=3840&q=75)
Transcribed Image Text:Activity 1: Use the Rules of Differentiation to differentiate the following functions:
a. f(x) = 2x³ + 6x
b. g(x) = 7x* – 3x²
C. y(x) = (4x)³ – 18x² + 6x
d. h(x) = (3x + 4)²
e. h(x) = 9x²/3 +
Activity 2: Find the derivative of each of the following functions:
a. f(u) = (4u + 5)(7u³ – 2u)
d. g(s) = 35-s
s2+1
f. f(r)=(r^2+2r-3)(3r+4)
g. g(b)=(3b-4)/(b+5) (2b+5)
Activity 3: Find and simply the result, if possible.
a. y = vĩ -
b. y = x? + n² + x*
C. y = x² secx
sinx-1
d. y =
cosx
e. y =
e+2
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