d/dx arcsin(x) =
A1/sqrt(1+x²)
B-1/sqrt(1-x²)
C1/sqrt(1-x²) (for |x| < 1)
D1/x
Answer & Solution
Correct answer: C. 1/sqrt(1-x²) (for |x| < 1)
Derivative of sin⁻¹(x) = 1/sqrt(1-x²) for |x| < 1. (And d/dx cos⁻¹ = -1/sqrt(1-x²).)
Related questions
The value of $ in(\tan^{-1}(3/4))$ is:The value of $\cos^{-1}(-1)$ is:For $x \in [-1, 1]$, the identity $ in^{-1}x + \cos^{-1}x$ equals:The principal value of $ in^{-1}(1/2)$ is:Maximum value of x² + (arcsin(x))² for x in [-1, 1]:arctan(x) is an _____ function (odd/even):Range of f(x) = arcsin(x) - arccos(x):Integral ∫ 1/(1 + x²) dx =