Ifg(x) = 2x + 4, then which statement is true? o g" (1) = dg(x) dy d dx dg(x) o f"(x) = d dg(x) o g" (x) = g" (x) = ( dy dx dx

Calculus: Early Transcendentals
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Author:James Stewart
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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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Ifg(x) = 2x + 4, then which statement is true?
o g" (1) =
dg(x)
dy
d
dx
dg(x)
o f"(x) =
d
dx
dx
g" (x) = ()()
dy
dg(x)
o g" (x) = ()
d
dg(x)
Transcribed Image Text:Ifg(x) = 2x + 4, then which statement is true? o g" (1) = dg(x) dy d dx dg(x) o f"(x) = d dx dx g" (x) = ()() dy dg(x) o g" (x) = () d dg(x)
Which statement is true?
If f(x) is decreasing, and f "(x) is positive, then f '(x) is positive and f is concave down.
O If f(x) is decreasing, and f "(x) is positive, then f '(x) is negative and f is concave up.
O If f(x) is decreasing, and f "'(x) is positive, then f '(x) is positive and f is concave down.
O If f(x) is decreasing, and f "(x) is positive, then f '(x) is positive and f is concave up.
Transcribed Image Text:Which statement is true? If f(x) is decreasing, and f "(x) is positive, then f '(x) is positive and f is concave down. O If f(x) is decreasing, and f "(x) is positive, then f '(x) is negative and f is concave up. O If f(x) is decreasing, and f "'(x) is positive, then f '(x) is positive and f is concave down. O If f(x) is decreasing, and f "(x) is positive, then f '(x) is positive and f is concave up.
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