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
›
What is the derivative of f(x) = 5x^2 - 4x + 3?
What is the derivative of f(x) = 5x^2 - 4x + 3?
Expand All
Collapse All
Practice Questions
1 question
Q1
What is the derivative of f(x) = 5x^2 - 4x + 3?
10x - 4
10x + 4
5x - 4
5x + 4
Show Solution
Copy
Using the power rule, f'(x) = 10x - 4.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the derivative of f(x) = 5x^2 - 4x + 3?
Solution:
Using the power rule, f'(x) = 10x - 4.
Steps: 8
Show Steps
Step 1: Identify the function f(x) = 5x^2 - 4x + 3.
Step 2: Recognize that we need to find the derivative, which tells us the rate of change of the function.
Step 3: Use the power rule for derivatives, which states that if f(x) = ax^n, then f'(x) = n * ax^(n-1).
Step 4: Apply the power rule to the first term 5x^2: The derivative is 2 * 5 * x^(2-1) = 10x.
Step 5: Apply the power rule to the second term -4x: The derivative is 1 * -4 * x^(1-1) = -4.
Step 6: The third term, 3, is a constant, and its derivative is 0.
Step 7: Combine the derivatives from steps 4, 5, and 6: f'(x) = 10x - 4 + 0.
Step 8: Simplify the expression: f'(x) = 10x - 4.
Related Questions
D
Differentiate f(x) = x^2 * e^x. (2022)
Question: Differentiate f(x) = x^2 * e^x. (2022)Options: x^2 * e^x + 2x * e^x2x * e^x + x^2 * e^xx^2..
F
Find the derivative of f(x) = x^4 - 4x^3 + 6x^2 - 24x + 5. (2023)
Question: Find the derivative of f(x) = x^4 - 4x^3 + 6x^2 - 24x + 5. (2023)Options: 4x^3 - 12x^2 + 1..
F
Find the second derivative of f(x) = 4x^4 - 2x^3 + x. (2019)
Question: Find the second derivative of f(x) = 4x^4 - 2x^3 + x. (2019)Options: 48x^2 - 12x + 148x^3 ..
F
For the function f(x) = sin(x) + cos(x), what is f'(π/4)? (2023)
Question: For the function f(x) = sin(x) + cos(x), what is f\'(π/4)? (2023)Options: 0√21√2/2Correct ..
D
Determine the local maxima or minima of f(x) = -x^2 + 4x. (2019)
Question: Determine the local maxima or minima of f(x) = -x^2 + 4x. (2019)Options: Maxima at x=2Mini..
‹
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
✕
↑
