If y = sin⁻¹(x/a), what is dy/dx?
If y = sin⁻¹(x/a), what is dy/dx?
- A. 1 / √(a² − x²)
- B. a / √(a² − x²)
- C. 1 / √(x² − a²)
- D. −1 / √(a² − x²)
Answer: A) 1 / √(a² − x²)
Explanation: By chain rule: (1 / √(1 − (x/a)²)) × (1/a) = (a / √(a² − x²)) × (1/a) = 1 / √(a² − x²).
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