Eric Nicholas K's answer to Kathy's Secondary 4 A Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Q11

As usual, not necessary to show that it is a minimum, but to show it, we just do d2y/dx2, which gets you 4e^2t + 8e^-2t which is clearly more than zero since e^x > 0 for any x and the coefficients 4 and 8 are positive.