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
›
If y = ln(5x^2 + 3), find dy/dx.
If y = ln(5x^2 + 3), find dy/dx.
Expand All
Collapse All
Practice Questions
1 question
Q1
If y = ln(5x^2 + 3), find dy/dx.
10/(5x^2 + 3)
5/(5x^2 + 3)
2/(5x^2 + 3)
15/(5x^2 + 3)
Show Solution
Copy
dy/dx = (10x)/(5x^2 + 3) by the chain rule.
Questions & Step-by-step Solutions
1 item
Q
Q: If y = ln(5x^2 + 3), find dy/dx.
Solution:
dy/dx = (10x)/(5x^2 + 3) by the chain rule.
Steps: 7
Show Steps
Step 1: Identify the function y = ln(5x^2 + 3). This is a natural logarithm function.
Step 2: Recall the derivative of ln(u) is 1/u * du/dx, where u is a function of x.
Step 3: In our case, u = 5x^2 + 3. We need to find du/dx.
Step 4: Differentiate u = 5x^2 + 3. The derivative du/dx = 10x.
Step 5: Now apply the chain rule: dy/dx = (1/(5x^2 + 3)) * (du/dx).
Step 6: Substitute du/dx into the equation: dy/dx = (1/(5x^2 + 3)) * (10x).
Step 7: Simplify the expression: dy/dx = (10x)/(5x^2 + 3).
Related Questions
I
If y = (x^2 + 1)^5, find dy/dx at x = 1.
Question: If y = (x^2 + 1)^5, find dy/dx at x = 1.Options: 10203040Correct Answer: 20Solution: dy/dx..
I
If y = tan(3x), find dy/dx at x = π/6.
Question: If y = tan(3x), find dy/dx at x = π/6.Options: 3√33√31Correct Answer: 3√3Solution: dy/dx =..
I
If y = 5x^4 - 3x^3 + 2x - 1, find dy/dx at x = 1.
Question: If y = 5x^4 - 3x^3 + 2x - 1, find dy/dx at x = 1.Options: 14161820Correct Answer: 16Soluti..
I
If y = (x^2 + 1)^5, find dy/dx.
Question: If y = (x^2 + 1)^5, find dy/dx.Options: 10x(x^2 + 1)^45(x^2 + 1)^45x(x^2 + 1)^420x(x^2 + 1..
I
If y = cos(5x^2), find dy/dx.
Question: If y = cos(5x^2), find dy/dx.Options: -10xsin(5x^2)-5xsin(5x^2)-25xsin(5x^2)-2xsin(5x^2)Co..
‹
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
›
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
✕
↑
