Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
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
If f(x) = x^3 - 3x^2 + 4, what is f'(2)? (2020)
Practice Questions
Q1
If f(x) = x^3 - 3x^2 + 4, what is f'(2)? (2020)
0
1
2
3
Questions & Step-by-Step Solutions
If f(x) = x^3 - 3x^2 + 4, what is f'(2)? (2020)
Steps
Concepts
Step 1: Identify the function f(x) = x^3 - 3x^2 + 4.
Step 2: Find the derivative of the function, f'(x). The derivative of x^3 is 3x^2, and the derivative of -3x^2 is -6x. So, f'(x) = 3x^2 - 6x.
Step 3: Substitute x = 2 into the derivative f'(x). This means we need to calculate f'(2) = 3(2^2) - 6(2).
Step 4: Calculate 2^2, which is 4. Then multiply by 3: 3 * 4 = 12.
Step 5: Calculate 6 * 2, which is 12.
Step 6: Subtract the two results: 12 - 12 = 0.
Step 7: Therefore, f'(2) = 0.
No concepts available.
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
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
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
