\frac{d}{dt}\left(\sqrt{3t+\sqrt{2+\sqrt{1-t}}}\right)
You asked:
Evaluate the expression: \(\frac{d}{dt}\left[\sqrt{3 t + \sqrt{2 + \sqrt{1 - t}}}\right]\)
MathBot Answer:
\[\frac{d}{dt}\left[\sqrt{3 t + \sqrt{2 + \sqrt{1 - t}}}\right] = \frac{\frac{3}{2} - \frac{1}{8 \sqrt{1 - t} \sqrt{\sqrt{1 - t} + 2}}}{\sqrt{3 t + \sqrt{\sqrt{1 - t} + 2}}}\]