Can Someone help me solve what is wrong with this code
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%Use symbolic processing with the variable x
syms x
syms fp(x)
syms Increasing
syms Decreasing
syms Minimum
syms Maximum
syms Inflection
syms CP
%Enconde the function f(x)
f(x) =(1+x^2)/(1-x^2)
%Set the distance to the left/right of the critical point
h=0.01
%Find the first derivative of the function
fp(x) = diff(1+(x^2))/(1-(x^2))
%Solve for the roots of fp
root1 = solve(fp,x)
%Consider the first critical point only
c=root1(1)
%Determine if the function is "Increasing" or "Decreasing" at the right of the critical point
if (fp(c+h)>0)
IoDR = "Increasing"
elseif (fp(c+h)<0)
IoDR = "Decreasing"
end
%Determine if the function is "Increasing" or "Decreasing" at the right of the critical point
if (fp(c-h)>0)
IoDL = "Decreasing"
elseif (fp(c-h)<0)
IoDL = "Increasing"
end
%Use first derivative Test to Determine if the critical point is a "Maximum" point or "Minimum" point.
if IoDL=="Increasing" & IoDR =="Decreasing"
CP= "Maximum"
elseif IoDL=="Decreasing" & IoDR =="Increasing"
CP= "Minimum"
end
%Find the second derivative of the function
fpp(x)= diff(f,2);
%Find the points of inflection of the function by equating the second derivative of the function to zero.
cc = diff(fp,x)
%Apply Second Derivative Test to check whether the critical point is a "Maximum" point, a "Minimum" point or "Point of Inflection".
if fpp(c) >0
CP2 = "Maximum"
elseif fpp(c)<0
CP2 = "Minimum"
else
CP2 = "Point of Inflection"
end
%GRAPH THE FUNCTION
clf();
g1= ezplot(f);
hold on
grid on
plot(c,f(c), 'r*')
title("Curve Tracing")
text(c+.5,f(c),["("+string(c)+","+string(f(c))+") "+CP ])
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回答(1 个)
VBBV
2022-10-4
编辑:VBBV
2022-10-4
%syms CP
Comment this line and try as CP is symbolic. Then you get know whether it's maximum or minimum
3 个评论
VBBV
2022-10-6
In the given code, the if-else condition for IoDL and IoDR variables are not satisfied since they are both increasing. so, output of CP will be unknown. In order to input CP, c and h needs to computed in such a way that condition is satisfied so that CP can be determined either as minimum or maximum strings.
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