Compute the derivatives of the following functions Find the value of the function and the slope at 0, 2, and Sketch a graph of the function on the given domain How would you describe the behavior in words r(t) t cos(t) for 0 t 4 ...

rt cost t sint r0 0 r0 1 r2 0 r2 2 r r ...

Compute the derivatives of the following functions. Find the value of the function and the slope at

Question:

Compute the derivatives of the following functions. Find the value of the function and the slope at 0, π/2, and π. Sketch a graph of the function on the given domain. How would you describe the behavior in words?
r(t) = t cos(t) for 0 ≤ t ≤ 4π.