The question from the book calculus with concept in calculus Suppose that /has an inverse and is continuous on an open interval I containing a. Assume also that f (a) exists, f'(a) # 0, and f(a) = c. Then (f -ly(c) exists, and (8) f'(a) In Exercises 41-48 use (8) to calculate (f ~ly(c). (Hint: Find a by inspection.) 41. f(x) = x³ + 7; e = 6 42. f(x) = 5x° + 4x°; c = 9
The question from the book calculus with concept in calculus Suppose that /has an inverse and is continuous on an open interval I containing a. Assume also that f (a) exists, f'(a) # 0, and f(a) = c. Then (f -ly(c) exists, and (8) f'(a) In Exercises 41-48 use (8) to calculate (f ~ly(c). (Hint: Find a by inspection.) 41. f(x) = x³ + 7; e = 6 42. f(x) = 5x° + 4x°; c = 9
Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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![The question from the book calculus with concept in calculus
Suppose that /has an inverse and is continuous on an open interval I containing
a. Assume also that f (a) exists, f'(a) # 0, and f(a) = c. Then (f -ly(c) exists,
and
(8)
f'(a)
In Exercises 41-48 use (8) to calculate (f ~ly(c). (Hint: Find a
by inspection.)
41. f(x) = x³ + 7; e = 6 42. f(x) = 5x° + 4x°; c = 9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ecf5e3e-b7b3-4ba9-b5d0-4ceff7990468%2F5db8a9b7-656d-46d3-9522-aadfeb2e425d%2F6z4fr7w.png&w=3840&q=75)
Transcribed Image Text:The question from the book calculus with concept in calculus
Suppose that /has an inverse and is continuous on an open interval I containing
a. Assume also that f (a) exists, f'(a) # 0, and f(a) = c. Then (f -ly(c) exists,
and
(8)
f'(a)
In Exercises 41-48 use (8) to calculate (f ~ly(c). (Hint: Find a
by inspection.)
41. f(x) = x³ + 7; e = 6 42. f(x) = 5x° + 4x°; c = 9
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