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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Need help with #78 and #80, can show how you got to solve those questions step by step please.
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![C In Problems 75–92, find each indicated derivative and simplify.
75. f'(w) for f( w) = (w + 1)2"
76. g'(w) for g(w)
= (w – 5) log; w
dy
77.
for y = 9x'/3 (x³ + 5)
dx
d
78.
dx
[(4x'/2 – 1)(3x'/³ + 2)]
log2 x
79. y' for y = -
1 + x?
dy
10*
80.
for y =
dx
1 + x*
6³Vx
81. f'(x)
for f(x)
x² – 3
82. y' for y =
x² - 3x + 1
0.2t
83. g'(t) if g(t)
31² – 1
-0.051²
84. h'(t) if h(t)
2t + 1
d
d
85.
[4x log x³]
86.
[10ʻ log t]
dx
dt
dy
87.
for
dx
y = (x – 1)(x² + x + 1)
for f(x) = (x* + x² + 1) (x² – 1)
89. y' for y = (x² + x + 1) (x² – x + 1)
88. f'(x)
90. gʻ(t) for g(t) = (t + 1)(tª – ² + ? – t + 1)
%3D
dy
for
91.
dt
t In t
y =
e'
dy
92.
for y =
du
1 + In u](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F064a7a4b-d5d0-4a7b-a91c-029d8527574b%2Fd0003e52-eed0-40a6-8b3e-b4ff85161d69%2Fpl5fqmp_processed.png&w=3840&q=75)
Transcribed Image Text:C In Problems 75–92, find each indicated derivative and simplify.
75. f'(w) for f( w) = (w + 1)2"
76. g'(w) for g(w)
= (w – 5) log; w
dy
77.
for y = 9x'/3 (x³ + 5)
dx
d
78.
dx
[(4x'/2 – 1)(3x'/³ + 2)]
log2 x
79. y' for y = -
1 + x?
dy
10*
80.
for y =
dx
1 + x*
6³Vx
81. f'(x)
for f(x)
x² – 3
82. y' for y =
x² - 3x + 1
0.2t
83. g'(t) if g(t)
31² – 1
-0.051²
84. h'(t) if h(t)
2t + 1
d
d
85.
[4x log x³]
86.
[10ʻ log t]
dx
dt
dy
87.
for
dx
y = (x – 1)(x² + x + 1)
for f(x) = (x* + x² + 1) (x² – 1)
89. y' for y = (x² + x + 1) (x² – x + 1)
88. f'(x)
90. gʻ(t) for g(t) = (t + 1)(tª – ² + ? – t + 1)
%3D
dy
for
91.
dt
t In t
y =
e'
dy
92.
for y =
du
1 + In u
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