find the first derivative in matlab

To find the first derivative of a function in Matlab, you can use the "gradient" function. This function takes in a vector of values representing the independent variable of the function, and a vector of values representing the dependent variable of the function, and returns the first derivative as a vector.

Here is an example:

main.m
% Define the function
x = linspace(0, 2*pi, 100);
y = sin(x);

% Find the first derivative
dydx = gradient(y, x);

% Plot both the function and its first derivative
figure
subplot(2, 1, 1)
plot(x, y)
title('Original function')
subplot(2, 1, 2)
plot(x, dydx)
title('First derivative')
284 chars
16 lines

In this example, we define a function with x values ranging from 0 to 2π, and y values equal to the sine of x. We then use the gradient function to find the first derivative of the function with respect to x. Finally, we plot both the original function and its first derivative using the "subplot" function within a "figure" block.

Note that the "gradient" function can also be used to compute gradients of multi-dimensional arrays.