MATLAB: How to fined both the coordiante

Question

Hi, how can I find the coordinate on the x-axis associated with the highest (maximunm) value of y of the function?

x=[-10:0.02:10]
y=exp(-(x-1).^2./2)+3.*exp(-(x-2).^2./2)
plot(x,y)

Can someone help me to fine the point of x associated with the max of y?

Thank you!

Answer 1

Use max():

x=[-10:0.02:10]
y=exp(-(x-1).^2./2)+3.*exp(-(x-2).^2./2)
plot(x,y, 'b-', 'LineWidth', 2)
grid on;
% Find the max
[yMax, indexAtMax] = max(y)
% Put a circle around the max.
hold on;
plot(x(indexAtMax), yMax, 'ro', 'MarkerSize', 12, 'LineWidth', 2);
% Draw a line from the x-axis up to the max.
line([x(indexAtMax), x(indexAtMax)], [0, yMax], 'Color', 'r', 'LineWidth', 2);