that's strange. the functions shown here are not really difficult to differentiate. maybe you're using the wrong formula

use:

1) Find the arc length of the curve on the interval (0, 2pi) of the following:

Cylcoid arch: x= a (θ - sinθ), y= a (1-cosθ)

use:2) Find the arc length on the curve of the given interval (1, 2) of the following:

x= t , y= t^(5) /10 + 1 /6t^(3)

use: and3) Find dy/dx and d^(2) y / dx^(2) (first derivative and 2nd derivative), and find the slope and concavity (if possible) at the given value of the parameter of the following:

a) x= 2 + sec θ, y= 1+ 2 tan θ When θ= pi/6b) x= cos θ, y= 3 sin θ When θ= 0