อนุพันธ์

$ y = \arcsin (x^2+3) $

วิธีทำ

\begin{align} & \cssId{Step1}{ \frac{dy}{dx} = \frac{1}{\sqrt{1-(x^2+3)^2} } \frac{d}{dx} (x^2+3) } \\ &\cssId{Step2}{= \frac{1}{\sqrt{1-(x^2+3)^2} } 2x } \\ &\cssId{Step3}{ = \frac{2x}{\sqrt{1-(x^2+3)^2} } } \\ \end{align}