Problemas de calculo

Cesar Oswaldo Aguilera Ojeda

Calculo I

11-Marzo-2011

René de Jesús Romero Troncoso.

Derivadas.

Ingeniería Mecánica.

Segunda Inscripción.

2. Using symbolic matlab verifyyour analytical results from exercise 1a.
370.-y=ax2+bx+c
clc; g=2*a*x+b
clear all;
syms x a b c;
y = a*x^2+b*x+c
g = diff(y,x);
g
380.- y=22x-1-1x
clc;g=-4/(2*x-1)^2+1/x^2
clear all;
syms x;
y = (2/(2*x-1))-(1/x);
g = diff(y,x);
g
390.-x7ex
clc;g=7*x^6*exp(x)+x^7*exp(x)
clear all;
syms x;
y = (x^7)*(exp(x));
g = diff(y,x);
g

410.-y=(ax+bc)3
clc; g=3*(a*x+b)^2/c^3*a
clear all;
syms x a b c;
y =((a*x+b)/(c))^3;
g = diff(y,x);
g
420.-y=2x+5cos3x
clc; g=2-15*cos(x)^2*sin(x)
clear all;
syms x;
y = (2*x)+(5*(cos(x)^3))
g = diff(y,x);
g430.-y=3(2ex-2x+1)+ln5x
clc; g=1/3/(2*exp(x)-2^x+1)^(2/3)*(2*exp(x)-2^x*log(2))+5*log(x)^4/x
clear all;
syms x;
y = ((2*exp(x)-2^x+1)^(1/3))+((log(x))^5)
g = diff(y,x);
g

440.-f(x) =arccos√xclc; g=-1/2/x^(1/2)/(1-x)^(1/2)
clear all;
syms x;
y = acos(sqrt(x));
g = diff(y,x);
g
450.-y=ln(1-x2)
clc; g=-2*x/(1-x^2)clear all;
syms x;
y = log(1-(x^2));
g = diff(y,x);
g
470.-z=3y+y
clc; g=1/3/(y+y^(1/2))^(2/3)*(1+1/2/y^(1/2))
clear all;
syms y;
f =(y+(sqrt(y)))^(1/3);
g = diff(f,y);
g

480.-y=13tan3x-tanx+x
clc; g=tan(x)^2*(1+tan(x)^2)-tan(x)^2
clear all;
syms x;
y = (tan(x))^3/3-tan(x)+x
g =diff(y,x);
g
500.-e(sinx)2
clc; g=2*sin(x)*cos(x)*exp(sin(x)^2)
clear all;
syms x;
y = exp(sin(x)^2);
g = diff(y,x);
g
510.-y=x-2√x+2ln(1+√x)
clc;...