Thread: Ellipse Optimization

I am given the equation 2x^2 + 0.2y^2 = 1

and I need to find the point whose coordinate have the largest sum (The sum of the x and y values)

I'm not really sure where to start. any ideas?

Originally Posted by Copephobia

I am given the equation 2x^2 + 0.2y^2 = 1

and I need to find the point whose coordinate have the largest sum (The sum of the x and y values)

I'm not really sure where to start. any ideas?

solve for y in terms of x

sum, S = x + (y in terms of x)

find dS/dx and maximize S