Question

v(t)=radical(t^7) - radical(t)

find the second derivative v"(t).

Answer 1

\[v(t)=\sqrt{t^7}-\sqrt{t}\]
maybe exponential notation will help with second derivative
\[v(t)=t^{\frac{7}{2}}-t^{\frac{1}{2}}\] then power rule twice

Answer 2

first time get
\[\frac{7}{2}t^{\frac{5}{2}}-\frac{1}{2}t^{-\frac{1}{2}}\] one more time and you are done

Answer 3

Thanks Satellite!