All Categories
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
›
Find the derivative of f(x) = 5x^4 - 3x + 2.
Find the derivative of f(x) = 5x^4 - 3x + 2.
Expand All
Collapse All
Practice Questions
1 question
Q1
Find the derivative of f(x) = 5x^4 - 3x + 2.
20x^3 - 3
15x^3 - 3
20x^4 - 3
5x^3 - 3
Show Solution
Copy
Using the power rule, f'(x) = 20x^3 - 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the derivative of f(x) = 5x^4 - 3x + 2.
Solution:
Using the power rule, f'(x) = 20x^3 - 3.
Steps: 8
Show Steps
Step 1: Identify the function f(x) = 5x^4 - 3x + 2.
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^4. The derivative is 4 * 5x^(4-1) = 20x^3.
Step 5: Apply the power rule to the second term, -3x. This is the same as -3x^1, so the derivative is 1 * -3x^(1-1) = -3.
Step 6: The third term, 2, is a constant, and the derivative of a constant is 0.
Step 7: Combine the derivatives from Steps 4, 5, and 6. So, f'(x) = 20x^3 - 3 + 0.
Step 8: Simplify the expression to get the final derivative: f'(x) = 20x^3 - 3.
Related Questions
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
W
What is the value of the limit lim (x -> 0) (sin(5x)/x)?
Question: What is the value of the limit lim (x -> 0) (sin(5x)/x)?Options: 01510Correct Answer: 5Sol..
I
If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is
Question: If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is the dista..
‹
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
✕
↑
