Ordering Second Derivative Values
For the differential equation $$\frac{dy}{dx}=\frac{4*x}{y}$$ with solution $$y=\sqrt{4*x^2+25}$$, the second derivative is computed as
$$\frac{d^2y}{dx^2}=\frac{100}{(\sqrt{4*x^2+25})^3}.$$
The approximate values are: at x = 0: ~0.8; x = 1: ~0.642; x = 2: ~0.382; x = 3: ~0.210.
Rank the x-values in order of increasing second derivative (i.e. from least concave upward to most concave upward). Write your answer as an ordering of x-values separated by commas.
A
0,1,2,3
B
3,2,1,0
C
2,3,1,0
D
3,1,2,0
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