Find 1st derivative: y = c ( cost) + t2 sint Solution y\'=-csint + (t^2)(cost) + (2t)(sint) ,as per the product rule. We can factor out a t from the last two terms, however, thus simplifying it to be y\'=-csint + t(tcost+2sint)..

1. Find 1st derivative:
y = c ( cost) + t2 sint
Solution
y'=-csint + (t^2)(cost) + (2t)(sint) ,as per the product rule. We can factor out a t
from the last two terms, however, thus simplifying it to be y'=-csint + t(tcost+2sint).