If y = sin⁻¹(√(1 − x²)), then dy/dx is:
If y = sin⁻¹(√(1 − x²)), then dy/dx is:
- A. −1/√(1−x²)
- B. 1/√(1−x²)
- C. −x/√(1−x²)
- D. x/√(1−x²)
Answer: A) −1/√(1−x²)
Explanation: sin⁻¹(√(1−x²)) = π/2 − sin⁻¹ x. So dy/dx = −1/√(1−x²).
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