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Can someone explain to me how to code the Tangent line and Normal line

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Echo Lei
Echo Lei 2022-10-4
评论： Echo Lei 2022-10-4

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Torsten
Torsten 2022-10-4

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Davide Masiello
Davide Masiello 2022-10-4
编辑：Davide Masiello 2022-10-4
Ran in:
syms x m b yt
f(x) = 3^x+3*x+2; % Function
m = diff(f,x) % Slope of tangent line
m(x) = 
b = f-m*x; % Intercept of tangent line
x0 = randi([-5 5]); % Random point x
b = subs(f,x0)-subs(m,x0)*x0; % Intercept value at random point % Redefine x as symbolic variable
yt(x) = subs(m,x0)*x+b % Tangent line equation at random point
yt(x) = 
fplot(x,f(x)) % Plot function
hold on
fplot(x,yt(x),'r') % Plot tangent
plot(x0,subs(yt,x0),'ok') % Plot point of tangency
You can use the same procedure for the normal line.

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