Question #45b1d

1 Answer
Oct 24, 2014

#y=(c).cos(t) + t^(2) . sin(t)#
#rArr##y'= (c)(-sin(t)) + 2.t.sin(t) + t^2(cos(t))#
#rArr##y'= (-c)sin(t) + 2t. sin(t) + t^(2)cos(t)#
#rArr##y'= (2t-c)sin(t) + t^2 cos(t)#

where y'= #dy/dt# .

#(dcos(t))/dt = -sin(t)#

#(dsin(t))/dt= cos(t)#

PS : I don't know what the 'c' before cos(t) in the question meant, so I considered it as a constant.