Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Asxxvaries from−1to+3, which one of the...
Start Learning for Free
As xx varies from −1 to +3, which one of the following describes the behaviour of the function f(x) = x3–3x2 + 1?
- a)f(x)f(x) increases monotonically.
- b)f(x)f(x) increases, then decreases and increases again.
- c)f(x)f(x) decreases, then increases and decreases again.
- d)f(x)f(x) increases and then decreases.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Asxxvaries from−1to+3, which one of the following describes the ...
Given x various from –1 to +3
f(x) = x3 – 3x2 + 1
f(x) = x3 – 3x2 + 1
f′(x) = 3x2 – 6x
⇒ f′(−1) = 3(−1) 2 – 6 (−1) = 3 + 6 = 9 > 0,f′(1) = 3 – 6 < 0
f′(0) = 0,f′(2) = 3(4) – 6(2) = 0,
f′(3) = 3x2 – 6x = 3(a) – 6(3) = 0
∴ f(x) increases, then decreases and increases again
Most Upvoted Answer
Asxxvaries from−1to+3, which one of the following describes the ...
Person to person, as it depends on their individual experiences, perspectives, and attitudes. Some individuals may view success as achieving financial stability and career advancement, while others may define success as having strong personal relationships and a sense of fulfillment in their daily life. Additionally, cultural and societal influences can also shape one's definition of success. Ultimately, success is a subjective concept that is unique to each individual.
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Top Courses for Computer Science Engineering (CSE)View all
Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer?
Question Description
Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer?.
Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Asxxvaries from−1to+3, which one of the following describes the behaviour of the functionf(x) = x3–3x2+ 1?a)f(x)f(x)increases monotonically.b)f(x)f(x)increases, then decreases and increases again.c)f(x)f(x)decreases, then increases and decreases again.d)f(x)f(x)increases and then decreases.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup