Derivative of $$$\operatorname{asin}{\left(x \right)}$$$
The calculator will find the derivative of $$$\operatorname{asin}{\left(x \right)}$$$, with steps shown.
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right)$$$.
Solution
The derivative of the inverse sine is $$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right) = \frac{1}{\sqrt{1 - x^{2}}}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right)\right)} = {\color{red}\left(\frac{1}{\sqrt{1 - x^{2}}}\right)}$$Thus, $$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right) = \frac{1}{\sqrt{1 - x^{2}}}$$$.
Answer
$$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right) = \frac{1}{\sqrt{1 - x^{2}}}$$$A