find the minimum of polynomial.

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MADHVI
MADHVI 2025-2-24
回答： Walter Roberson 2025-2-24
To find the minimum of polynomial a*R^2+b*R+c=0.
I want to minimize the f(R,a)=0.
Give the command for minimizing f(R,a)=0.
Thanks in advance.

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回答（2 个）

Sam Chak
Sam Chak 2025-2-24

For a two-degree polynomial (quadratic) in the form of "y = ax^2 + bx + c", the formula to find the minimum value is: min = c - (b^2 / 4a).

Do you want to test special tools or functions for this specific problem?

Walter Roberson
Walter Roberson 2025-2-24
Ran in:
syms a b c R
f = a*R^2+b*R+c
f = 
critical_points = solve(diff(f, R), R)
critical_points = 
value_at_critical_points = subs(f, R, critical_points)
value_at_critical_points = 

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