Calculus

419 days ago by matrixation

u = var('u') diff((sin(u)^2)/((u^2)^4+5*u), u) 
        
-(8*u^7 + 5)*sin(u)^2/(u^8 + 5*u)^2 + 2*sin(u)*cos(u)/(u^8 + 5*u)
-(8*u^7 + 5)*sin(u)^2/(u^8 + 5*u)^2 + 2*sin(u)*cos(u)/(u^8 + 5*u)
x = var('x') solve(x^2 + 3*x + 2, x) 
        
[x == -2, x == -1]
[x == -2, x == -1]
phi = var('phi') find_root(cos(phi)==sin(phi),0,pi/2) 
        
0.78539816339744839
0.78539816339744839
diff(sin(x^2), x, 2) 
        
-4*x^2*sin(x^2) + 2*cos(x^2)
-4*x^2*sin(x^2) + 2*cos(x^2)