Q1/ Choose the correct answer for each of the following items. 1. If f'(x) = g(x) and ifh(x) = x2, then 4 h(f(x)) = (a) 2g(x²) (b) 2(g(x))² (c) 2xg(x) (d) 2x(g(x))? dx |4-x2|

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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If ?′(?) = ?(?) and if?(?) = ??, then ? ?(?(?)) = (a) ??(??) (b) ?(?(?))? (c) ???(?) (d) ??(?(?))?
11:48
Calculus I ..bỏi jlbï!
Basrah University for Oil and Gas
College of Oil and Gas Engineering
Evening Studies
Oil and Gas Engineering
Midterm Exam 2020/2021
Subject: Calculus I
Class: 1a year
Lecturer: Prof. Dr. Raad S. Mahdi
First Semester
Date: 10/3/2021
Time: 1:30 Hours
Remark: The Total degree is 30.
Q1/ Choose the correct answer for each of the following items.
(20 Marks)
1. If f'(x) = g(x) and ifh(x) = x², then 4 h(f(x)) =
(a) 2g(x²)
(b) 2(g(x))?
(c) 2xg(x)
(d) 2x(g(x))?
dx
2. lim t-r2|
n+o 2+x-4
(а) —
4
(b) -2
(c)
(d) Does not exist
3. Consider the following graph of a function y = f(x) defined on an open
interval (a, b).
Then
(a) Dr'(x) = (a, b)
(b) f'(x) is continuous on (a, b)
(c) f'(x) > 0 on (a, c)
(d) None of the above
4. The Mean-Value Theorem guarantees the existence of a special point
the graph of y = Vx between (0,0) and (4, 2) whose coordinates is
(a) (2,1)
(b) (1,1)
(c) (2, v2)
(d) G글)
5. lim 4)"-(4)"
(a) 0
(b) :
(c) 64
(d) Dose not exist
Transcribed Image Text:11:48 Calculus I ..bỏi jlbï! Basrah University for Oil and Gas College of Oil and Gas Engineering Evening Studies Oil and Gas Engineering Midterm Exam 2020/2021 Subject: Calculus I Class: 1a year Lecturer: Prof. Dr. Raad S. Mahdi First Semester Date: 10/3/2021 Time: 1:30 Hours Remark: The Total degree is 30. Q1/ Choose the correct answer for each of the following items. (20 Marks) 1. If f'(x) = g(x) and ifh(x) = x², then 4 h(f(x)) = (a) 2g(x²) (b) 2(g(x))? (c) 2xg(x) (d) 2x(g(x))? dx 2. lim t-r2| n+o 2+x-4 (а) — 4 (b) -2 (c) (d) Does not exist 3. Consider the following graph of a function y = f(x) defined on an open interval (a, b). Then (a) Dr'(x) = (a, b) (b) f'(x) is continuous on (a, b) (c) f'(x) > 0 on (a, c) (d) None of the above 4. The Mean-Value Theorem guarantees the existence of a special point the graph of y = Vx between (0,0) and (4, 2) whose coordinates is (a) (2,1) (b) (1,1) (c) (2, v2) (d) G글) 5. lim 4)"-(4)" (a) 0 (b) : (c) 64 (d) Dose not exist
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