- #1
utkarshakash
Gold Member
- 854
- 13
Homework Statement
The maximum value of [itex] | \sqrt{x^4-3x^2-6x+13} - \sqrt{x^4+5x^2+4}| [/itex]
Homework Equations
The Attempt at a Solution
First of all I'd like to ask a question which always troubles me and that is how do you find max value of any given expression? What clues do you look for? As in this case it is a random expression and the only thing I can say is that the term under square root should be positive. Now, I could have used Wavy Curve method here if only it could be easily factorised which I think is impossible in this case. The other method is by approaching it the 'calculus' way i.e. differentiating and setting it to 0. But the roots are impossible to calculate manually. I find these questions really intriguing