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
Please help with all of them:)
![If
f(x) = cos x + sinx, what is
f"" (x)?
f""(x) = sinx - cos x
of"" (x) = sin x + cos x
f"" (x) = sin x + cos x
f""(x) = sinx - cos x
Which of the following is true?
If f(x) is increasing and f '(x) is positive, then f '(x) is negative and f is concave up.
If f(x) is increasing and f '(x) is negative, then f'(x) is positive and f is concave up.
If f(x) is increasing and f "(x) is positive, then f '(x) is positive and f is concave up.
If f(x) is increasing and f ''(x) is positive, then f '(x) is positive and f is concave down.
Which of the following is true?
If f '(x) is 0, and f "(x) is positive, then f (x) is decreasing and f is concave up.
If f '(x) is 0, and f "(x) is positive, then f (x) is increasing and f is concave up.
If f '(x) is 0, and f "(x) is positive, then f (x) is flat and f is concave down.
If f '(x) is 0, and f "(x) is positive, then f (x) is flat and f is concave up.
So
If
f(x) = sinx cos x, what is
f'(x)?
of'(x) = -sin²x - cos²x
© f'(x) = -sin²x + cos²x
of'(x) =
sin²x - cos²x
f'(x) = sin²x + cos²x
If
f(x) = ex[sin(x)², what is
f'(x)?
If
f(x) = x²-4,
-, what is
f'(x)?
o f'(x) = -x²4
- f'(x) = -x²+4
© f'(x) = x²+4
(10 f'(x) = x²=4
52
f'(x) = 2e2[sin(x)]²+2e²* cos(x) sin(x)
f'(x) = ex[sin(x)]²+2e²[cos(2x)]²
f'(x) = 2e²[sin(x)]²2 - 2e²* cos(x) sin(x)
f'(x) = e²[sin(x)]² - 2e²¹ [cos(2x)]
If
f(x) = cos x³, what is
f'(x)?
f'(x) = -3x² cos x³
f'(x) = 3x² sin x³
f'(x) = 3x² cos.x³
of'(x) = -3x² sin .x²
If
4x² +9y² = 36, what is
dy
313
11
11
ن این
8€
ola
22
51
49
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48
52](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4347980c-4476-44ed-9ffe-e76501da5fe0%2F2069de12-42f8-4879-954f-3d11a321b339%2Fbzsyebi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If
f(x) = cos x + sinx, what is
f"" (x)?
f""(x) = sinx - cos x
of"" (x) = sin x + cos x
f"" (x) = sin x + cos x
f""(x) = sinx - cos x
Which of the following is true?
If f(x) is increasing and f '(x) is positive, then f '(x) is negative and f is concave up.
If f(x) is increasing and f '(x) is negative, then f'(x) is positive and f is concave up.
If f(x) is increasing and f "(x) is positive, then f '(x) is positive and f is concave up.
If f(x) is increasing and f ''(x) is positive, then f '(x) is positive and f is concave down.
Which of the following is true?
If f '(x) is 0, and f "(x) is positive, then f (x) is decreasing and f is concave up.
If f '(x) is 0, and f "(x) is positive, then f (x) is increasing and f is concave up.
If f '(x) is 0, and f "(x) is positive, then f (x) is flat and f is concave down.
If f '(x) is 0, and f "(x) is positive, then f (x) is flat and f is concave up.
So
If
f(x) = sinx cos x, what is
f'(x)?
of'(x) = -sin²x - cos²x
© f'(x) = -sin²x + cos²x
of'(x) =
sin²x - cos²x
f'(x) = sin²x + cos²x
If
f(x) = ex[sin(x)², what is
f'(x)?
If
f(x) = x²-4,
-, what is
f'(x)?
o f'(x) = -x²4
- f'(x) = -x²+4
© f'(x) = x²+4
(10 f'(x) = x²=4
52
f'(x) = 2e2[sin(x)]²+2e²* cos(x) sin(x)
f'(x) = ex[sin(x)]²+2e²[cos(2x)]²
f'(x) = 2e²[sin(x)]²2 - 2e²* cos(x) sin(x)
f'(x) = e²[sin(x)]² - 2e²¹ [cos(2x)]
If
f(x) = cos x³, what is
f'(x)?
f'(x) = -3x² cos x³
f'(x) = 3x² sin x³
f'(x) = 3x² cos.x³
of'(x) = -3x² sin .x²
If
4x² +9y² = 36, what is
dy
313
11
11
ن این
8€
ola
22
51
49
47
48
52
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