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roots_and_optimization/dprojectile_dtheta.m

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function [dh_dtheta]=dprojectile_dtheta(theta)
%calculates the derivative of the height with respect to the initial angle
%theta
%returns the derivative
%dh_dtheta = (2.37/(cosd(theta)^2)-(((2.37^2)*4.905*2*sind(theta))/((15^2)*(cos(theta)^3))));
g=-9.81;
x=2.37;
v_mag=15;
dh_dtheta= @(theta) (x*(secd(theta))^2)-(tand(theta)*((secd(theta))^2)*g*x^2)/(v_mag^2);
end