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 = cos^(-1)(x), what is dy/dx?
If y = cos^(-1)(x), what is dy/dx?
Expand All
Collapse All
Practice Questions
1 question
Q1
If y = cos^(-1)(x), what is dy/dx?
-1/√(1-x^2)
1/√(1-x^2)
0
1
Show Solution
Copy
The derivative of cos^(-1)(x) is dy/dx = -1/√(1-x^2).
Questions & Step-by-step Solutions
1 item
Q
Q: If y = cos^(-1)(x), what is dy/dx?
Solution:
The derivative of cos^(-1)(x) is dy/dx = -1/√(1-x^2).
Steps: 4
Show Steps
Step 1: Understand that y = cos^(-1)(x) means y is the angle whose cosine is x.
Step 2: To find dy/dx, we need to use the derivative of the inverse cosine function.
Step 3: The formula for the derivative of cos^(-1)(x) is dy/dx = -1/√(1 - x^2).
Step 4: This formula tells us how y changes with respect to x when y is the angle whose cosine is x.
Related Questions
I
If the roots of the equation x^2 + px + q = 0 are 1 and -1, what is the value of
Question: If the roots of the equation x^2 + px + q = 0 are 1 and -1, what is the value of p?Options..
W
What is the value of sin^(-1)(1/2)?
Question: What is the value of sin^(-1)(1/2)?Options: π/6π/4π/3π/2Correct Answer: π/6Solution: sin^(..
E
Evaluate cos(tan^(-1)(3/4)).
Question: Evaluate cos(tan^(-1)(3/4)).Options: 4/53/55/43/4Correct Answer: 4/5Solution: Using the tr..
W
What is the range of the function y = sin^(-1)(x)?
Question: What is the range of the function y = sin^(-1)(x)?Options: [-π/2, π/2][0, π][-1, 1][0, 1]C..
I
If x = sin^(-1)(3/5), what is the value of cos(x)?
Question: If x = sin^(-1)(3/5), what is the value of cos(x)?Options: 4/53/52/51/5Correct Answer: 4/5..
‹
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
›
✕
↑
