The domain over which the derivative of cos⁻¹x exists is:
The domain over which the derivative of cos⁻¹x exists is:
- A. (−1, 1)
- B. [−1, 1]
- C. (−∞, ∞)
- D. [0, π]
Answer: A) (−1, 1)
Explanation: The derivative is −1 / √(1 − x²). The denominator is zero at x = 1 and x = −1, so the derivative exists only in the open interval (−1, 1).
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