Alerts Wishlist Cart

The function f(x) = sin(x) + cos(x) has a maximum value at which point? (2022)

Practice Questions

Q1
The function f(x) = sin(x) + cos(x) has a maximum value at which point? (2022)
  1. π/4
  2. π/2
  3. 0
  4. 3π/4

Questions & Step-by-Step Solutions

The function f(x) = sin(x) + cos(x) has a maximum value at which point? (2022)
  • Step 1: Write down the function f(x) = sin(x) + cos(x).
  • Step 2: Find the derivative of the function, which is f'(x) = cos(x) - sin(x).
  • Step 3: Set the derivative equal to zero to find critical points: cos(x) - sin(x) = 0.
  • Step 4: Rearrange the equation to get cos(x) = sin(x).
  • Step 5: Recognize that cos(x) = sin(x) at specific angles, particularly x = π/4.
  • Step 6: Check if this point is a maximum by evaluating the second derivative or using the first derivative test.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely