Answer
${dy}=(\sqrt{(1-x^2})-\frac{x^2}{\sqrt{ ({1-x^2})}}){dx}$
Work Step by Step
We evaluate the function: $y=x\sqrt{(1-x^2)}$
on differentiating the above:
$\frac{dy}{dx}=\frac{d(x\sqrt{(1-x^2)}}{dx}$
or ${dy}=(\sqrt{(1-x^2})-\frac{x^2}{\sqrt{ ({1-x^2})}}){dx}$
The final answer is: ${dy}=(\sqrt{(1-x^2})-\frac{x^2}{\sqrt{ ({1-x^2})}}){dx}$
