Question

Calculus: Find the derivative.
Given the equation is s(t)=t^4-16t^2+5
For what values of t is v(t)=0

Answer 1

\[t ^{4}-16t ^{2}+5\]

Answer 2

\[4t ^{3}-32t\]

Answer 3

Diff of s(t) is v(t)

Answer 4

v(t)=ds/dt=4t^3-32t=0
thus,
\[4t ^{3}-32t=0\]
\[4t(t ^{2}-32)=0\]

Answer 5

sorry last one is
\[4t(t ^{2}-8)=0\]

Answer 6

either t=0 or t^2-8=0
either t=0 or t^2=8
either t=0 or t=+sqrt(2) or t=-sqrt(2)

Answer 7

wait i got thx

Answer 8

welcome.......