- #1

Poppynz

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This is what i have so far

y(distance)=√((x-0)^2+((x^2)/4)^2)

=(x^2+(X^4)/16+16)^0.5

then calculate y'

then make y'=0

then determine if max or min using 2nd derivative test

The problem i am having is that the answers i get for x when y' = 0 are imaginary. i have computed this problem using MATLAB and get the same answers except that they are real and have isolated the problem to my simplification of y.

matlab gives it as y=0.25(-16x^2+x^4+256)^0.5

Could some one please explain how to simplify y=(x^2+(X^4)/16+16)^0.5 to y=0.25(-16x^2+x^4+256)^0.5 or suggest a better way to approach this problem

Thanks in advance