find the derivative of a quadradic function in matlab

To find the derivative of a quadratic function in Matlab, you can use the polyder function, which calculates the derivative of a polynomial.

Here is an example code block that shows how to find the derivative of the quadratic function f(x) = 3x^2 + 2x + 1:

main.m
% Define the coefficients of the quadratic function
coefficients = [3, 2, 1];

% Find the derivative of the quadratic function
derivative_coefficients = polyder(coefficients);

% Evaluate the derivative at a specific value of x (e.g. x = 2)
x = 2;
derivative_value = polyval(derivative_coefficients, x);

% Print the derivative value
disp(['The derivative of the quadratic function at x=', num2str(x), ' is ', num2str(derivative_value)]);
439 chars
13 lines

In this example, polyder calculates the derivative of the quadratic function defined by the coefficients coefficients, and returns a new set of coefficients derivative_coefficients, which represents the derivative function. The polyval function is then used to evaluate the derivative function at a specific value of x, and the resulting derivative value is printed to the console.