Question

derivative of sqrt(1 - x^2)

Answer 1

\[\sqrt(1 - x^2) \]

Answer 2

\[\frac{d}{dx}\sqrt{1-x^2}=\frac{1}{2\sqrt{1-x^2}}\times -2x=\frac{-x}{\sqrt{1-x^2}}\]

Answer 3

in general the derivative of
\[\sqrt{f(x)}\] is
\[\frac{f'(x)}{2\sqrt{f(x)}}\] by the chain rule

Answer 4

cool... that is what I am doing is the chain rule