All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
Find the value of c such that the function f(x) = { x^2 + c, x < 1; 2x + 1, x
Find the value of c such that the function f(x) = { x^2 + c, x < 1; 2x + 1, x >= 1 } is differentiable at x = 1.
Expand All
Collapse All
Practice Questions
1 question
Q1
Find the value of c such that the function f(x) = { x^2 + c, x < 1; 2x + 1, x >= 1 } is differentiable at x = 1.
0
1
2
3
Show Solution
Copy
Setting the left-hand limit equal to the right-hand limit gives c = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the value of c such that the function f(x) = { x^2 + c, x < 1; 2x + 1, x >= 1 } is differentiable at x = 1.
Solution:
Setting the left-hand limit equal to the right-hand limit gives c = 1.
Steps: 0
Show Steps
No step-by-step solution saved yet.
Related Questions
I
If f(x) = x^2 + 2x + 1 for x < 0 and f(x) = kx + 1 for x >= 0, find k such
Question: If f(x) = x^2 + 2x + 1 for x < 0 and f(x) = kx + 1 for x >= 0, find k such that f is diffe..
I
If A = {1, 2, 3} and B = {2, 3, 4}, what is |A ∩ B|?
Question: If A = {1, 2, 3} and B = {2, 3, 4}, what is |A ∩ B|?Options: 1230Correct Answer: 2Solution..
F
For which value of a is the function f(x) = x^3 - 3ax^2 + 3a^2x + 1 differentiab
Question: For which value of a is the function f(x) = x^3 - 3ax^2 + 3a^2x + 1 differentiable at x = ..
T
The function f(x) = x^2 sin(1/x) for x ≠ 0 and f(0) = 0 is differentiable at x =
Question: The function f(x) = x^2 sin(1/x) for x ≠ 0 and f(0) = 0 is differentiable at x = 0. True o..
T
The function f(x) = x^3 - 3x + 2 is differentiable everywhere. What is f'(1)?
Question: The function f(x) = x^3 - 3x + 2 is differentiable everywhere. What is f\'(1)?Options: 012..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
✕
↑
