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:All real $x$ satisfying $ in^{-1}(x) + in^{-1}(1-x) = \cos^{-1}(x)$ areFor $x = -2$, the value of $\tan^{-1}\left(\dfrac{2x}{1-x^2}\right)$ equals$\displaystyle um_{n=1}^{\infty} \tan^{-1}\left(\frac{1}{n^2 + n + 1}\right)$ equals$\tan^{-1}(1) + \tan^{-1}(2) + \tan^{-1}(3) = $