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If y = cos^(-1)(x), then dy/dx is:

Practice Questions

Q1
If y = cos^(-1)(x), then dy/dx is:
  1. -1/√(1-x^2)
  2. 1/√(1-x^2)
  3. 0
  4. 1

Questions & Step-by-Step Solutions

If y = cos^(-1)(x), then dy/dx is:
  • Step 1: Understand that y = cos^(-1)(x) means y is the angle whose cosine is x.
  • Step 2: Recall the relationship between the derivative of the inverse cosine function and its derivative formula.
  • Step 3: The formula for the derivative of cos^(-1)(x) is dy/dx = -1/√(1 - x^2).
  • Step 4: Recognize that this formula applies for values of x in the range -1 < x < 1, where the square root is defined.
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