Homework Sourseft33t333t with domain 22 f has an absolute minimum at f h
f(t)=33t^3+33t with domain [-2,2]
f has an absolute minimum at ( , ).
f has ? at (1, ).
f has an absolute maximum at ( , ).
f has ? at (-1, ).
f has an absolute minimum at ( , ).
f has ? at (1, ).
f has an absolute maximum at ( , ).
f has ? at (-1, ).
Solution
f\'(t)=33(3t^2+1) is always positive, so f is always increasing
Hence the absolute minimum is when x=-2, f(-2)=-330
(x,y)=(-2,-330)
It has an absolute maximum when x=2, f(2)=330
(x,y)=(2,330)
f does not have anything special at (1,) and (-1,) except the points reached are (1,66) and (-1,-66)
![f(t)=33t^3+33t with domain [-2,2] f has an absolute minimum at ( , ). f has ? at (1, ). f has an absolute maximum at ( , ). f has ? at (-1, ).Solutionf\'(t)=33(](/WebImages/27/ft33t333t-with-domain-22-f-has-an-absolute-minimum-at-f-h-1073314-1761562569-0.webp "f(t)=33t^3+33t with domain [-2,2] f has an absolute minimum at ( , ). f has ? at (1, ). f has an absolute maximum at ( , ). f has ? at (-1, ).Solutionf\'(t)=33(")
