Question

use matlab to determine the derivative of 5x^4+3x^3+6x^2-7x+2=0

b. determine the definate integral of the equation above from -2 to 6

in matlab please

Answer 1

MATLAB Code:

close all
clear
clc

fprintf('Part (a)\n-----------------------------------------------------\n')
syms x
y = 5*x^4 + 3*x^3 + 6*x^2 - 7*x + 2;
fprintf('y(x) = '), disp(y)
y_derivative = diff(y,x);
fprintf('y''(x) = '), disp(y_derivative)

fprintf('\nPart (b)\n-----------------------------------------------------\n')
I = integral(@(x) 5*x.^4 + 3*x.^3 + 6*x.^2 - 7*x + 2, -2, 6);
fprintf('Integration Result: %f\n', I)

Output:

Part (a)
-----------------------------------------------------
y(x) = 5*x^4 + 3*x^3 + 6*x^2 - 7*x + 2
y'(x) = 20*x^3 + 9*x^2 + 12*x - 7

Part (b)
-----------------------------------------------------
Integration Result: 9120.000000