My Learning Cart
?
Categories
Account

What is the derivative of sin^(-1)(x)?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the derivative of sin^(-1)(x)?

Options:

  1. 1/√(1-x^2)
  2. -1/√(1-x^2)
  3. 1/x
  4. 0

Correct Answer: 1/√(1-x^2)

Solution: 

The derivative of sin^(-1)(x) is 1/√(1-x^2)

What is the derivative of sin^(-1)(x)?

Practice Questions

Q1
What is the derivative of sin^(-1)(x)?
  1. 1/√(1-x^2)
  2. -1/√(1-x^2)
  3. 1/x
  4. 0

Questions & Step-by-Step Solutions

What is the derivative of sin^(-1)(x)?
  • Step 1: Understand what sin^(-1)(x) means. It is the inverse sine function, also known as arcsin(x).
  • Step 2: Recall the definition of the derivative. The derivative measures how a function changes as its input changes.
  • Step 3: Use the formula for the derivative of the inverse sine function. The formula is: d/dx [sin^(-1)(x)] = 1/√(1-x^2).
  • Step 4: Apply the formula directly to find the derivative of sin^(-1)(x).
  • Step 5: Write down the final answer: The derivative of sin^(-1)(x) is 1/√(1-x^2).
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks