5 2 n 1 2n

5 2 n 1 2n

Input
5×2 n×1 (2 n)
Result
20 n^2
Values
n | 1 | 2 | 3 | 4 | 5
20 n^2 | 20 | 80 | 180 | 320 | 500
Geometric figure
parabola
Root
n = 0
Polynomial discriminant
Delta = 0
Property as a function
even
Derivative
d/dn(5×2 n (2 n)) = 40 n
Indefinite integral
integral 20 n^2 dn = (20 n^3)/3 + constant
Global minimum
min{5 2 n (2 n)} = 0 at n = 0

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