JEE MainHardQuestion 360009
Question
The derivative of sin⁻¹x is:
- A1/√(1−x²)Correct
- B1/(1+x²)
- C−1/√(1−x²)
- D√(1−x²)
Correct answer
1/√(1−x²)
Explanation
d/dx(sin⁻¹x) = 1/√(1−x²) for |x| < 1. Similarly d/dx(cos⁻¹x) = −1/√(1−x²) and d/dx(tan⁻¹x) = 1/(1+x²).