posted by Robert .
Find the derivative. Express answer in radical notation with no negative exponents.
This reads (4 times the square root of t) plus (3 divided by t) plus 2t to the 5th.
Differentiate it one term at a time, using the rule:
d/dt(t^n) = n*t^(n-1)
s(x) = 4 t^(1/2) + 3 t*(-1) + 2 t^5
ds/dx = 2/t(1/2) - 3/t^2 + 10 t^4