Derivadas Matlab

Tarea 7 calculo
Ejercicio 1.
b)
815)
syms x
y = x/(x - 2)
g=diff(y,x)
g = 1/(x - 2) - x/(x - 2)^2
solve(g,x)

825)
syms x
y = exp(x)/x
g=diff(y,x)
g = exp(x)/x - exp(x)/x^2solve(g,x)
ans = 1

835)
syms x
y = -16/(x*(x^2 - 4))
g=diff(y,x)
g = 32/(x^2 - 4)^2 + 16/(x^2*(x^2 - 4))
solve(g,x)
ans =
(2*3^(1/2))/3
-(2*3^(1/2))/3

845)
syms x
y = x*exp(x)g=diff(y,x)
g = exp(x) + x*exp(x)
solve(g,x)
ans = -1

855)
syms x
y = x + 1/x
g=diff(y,x)
g = 1 - 1/x^2
solve(g,x)
ans =
1
-1
865)
y=a^2*x-4*x^2+4*x^3
y = a^2*x + 4*x^3 -4*x^2
g=diff(y,x)
g = a^2 + 12*x^2 - 8*x
solve(g,x)
ans =
1/3 - (4 - 3*a^2)^(1/2)/6
(4 - 3*a^2)^(1/2)/6 + 1/3

b)
891)
syms x
y = x^3 - 6*x^2 + 12*x + 4
g=diff(y,x)
g =3*x^2 - 12*x + 12
solve(g,x)
ans = 2

894)
syms x
y = x^3/(x^2 + 12)
g=diff(y,x)
g = (3*x^2)/(x^2 + 12) - (2*x^4)/(x^2 + 12)^2
solve(g,x)
ans =
0
6
(-6)

900)
syms x
y= exp(x)*(x^2 + 1)
g=diff(y,x)
g = exp(x)*(x^2 + 1) + 2*x*exp(x)
solve(g,x)
ans = -1
897)
y = x - sin(x)
g=diff(y,x)
g = 1 - cos(x)
solve(g,x)
ans = 0

Ejercicio 3.

925.
symsx;
y=1/((x^2)+3);
ezplot(y,[-10,10]);
title('CARACTERISTICALS POINTS');
xlabel('axis x');
ylabel('axis y');
grid on;

930.
syms x;
y=16/((x^2)*(x-4));
ezplot(y,[-40,40]);title('CARACTERISTICALS POINTS');
xlabel('axis x');
ylabel('axis y');
grid on;

935.
syms x;
y=((x^3)-3*x)^1/3;
ezplot(y,[-4,4]);
title('CARACTERISTICAL POINTS');
xlabel('axis x');
ylabel('axis y');
gridon;

940.
syms x;
y=((x+4)^2/3)-((x-4)^2/3);
ezplot(y,[-10,10]);
title('CARACTERISTICAL POINTS');
xlabel('axis x');
ylabel('axis y');
grid on;

945.
syms x;
y=x/((x-2)^2/3);ezplot(y,[-50,50]);
title('CARACTERISTICAL POINTS');
xlabel('axis x');
ylabel('axis y');
grid on;

950.
syms x;
y=(2*abs(x))-x^2;
ezplot(y,[-5,5]);
title('CARACTERISTICAL POINTS');
xlabel('axis x');...