Max value of: cos(t)+t-t^2?

Question

The max value can be found with the derivative equation:
-sin(t)+1-2t=0

correct?

Thanks for the responses. I am learning about newton's method, and got no response here:
http://answers.yahoo.com/question/index;_ylt=AssUMLnGwKi0zy_W4jhTo3vsy6IX?qid=20070419172640AAD6aMX

Answer 1

Yes, but you won't find an analytic solution to that transcendental equation. Use graphic analysis or successive approximation to get the value of t where the function is max, then plug into the original to get the value of that max (t = 0.335, max = 1.167)

Answer 2

Correct. But you cannot solve for this easily. Try graphing it. I think it's 1 is the max and minus infinity is the min, just eyeballing it. Good luck

Answer 3

yes, use sign analysis