limit ((3*x^2)+(4*x)+4, x=oo)
+Infinity +Infinity |
var('x')
limit((x^2-25)/(x^2+2*x-15), x = -5)
5/4 5/4 |
var ('z')
limit ((6-3*z+10*z^2)/(-2*z^4+7*z+1), z= 1)
13/6 13/6 |
var ('t')
limit ((t-(3*t+4)^(1/2))/(4-t), t= 4)
-5/8 -5/8 |
var('x')
limit(((x^2)-(7*x)+10)/((x^2)-25),x=5)
3/10 3/10 |
var('x')
f1=plot(((6-x)/(x^2+3*x+2)),-10,10,color="blue")
show(f1,xmin=-10, xmax=10, ymin=-10, ymax=10)
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derivative(15*x^4-3*x^2+5*x-46,x)
60*x^3 - 6*x + 5 60*x^3 - 6*x + 5 |
derivative(arcsec(e^(2*x)),x)
2*e^(-2*x)/sqrt(-e^(-4*x) + 1) 2*e^(-2*x)/sqrt(-e^(-4*x) + 1) |
derivative(e^(1/x))
-e^(1/x)/x^2 -e^(1/x)/x^2 |
derivative ((cos(1-x^2))^3,x)
6*x*sin(-x^2 + 1)*cos(-x^2 + 1)^2 6*x*sin(-x^2 + 1)*cos(-x^2 + 1)^2 |
derivative (ln(x^2/3))
2/x 2/x |
derivative(3*cot(2*x)*sec(2*x),x)
6*tan(2*x)*sec(2*x)*cot(2*x) - 6*sec(2*x)*csc(2*x)^2 6*tan(2*x)*sec(2*x)*cot(2*x) - 6*sec(2*x)*csc(2*x)^2 |
derivative(arccot(x^(1/2)),x)
-1/2/((x + 1)*sqrt(x)) -1/2/((x + 1)*sqrt(x)) |
derivative(ln(sin(x)^2)/ln(3),x)
2*cos(x)/(log(3)*sin(x)) 2*cos(x)/(log(3)*sin(x)) |
derivative((4(x^2) - 3))((x - 1)),x)
Traceback (click to the left of this block for traceback) ... SyntaxError: invalid syntax Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "_sage_input_30.py", line 10, in <module>
exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVyaXZhdGl2ZSgoNCh4XjIpIC0gMykpKCh4IC0gMSkpLHgp"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
File "", line 1, in <module>
File "/tmp/tmpvnXqRR/___code___.py", line 3
derivative((_sage_const_4 (x**_sage_const_2 ) - _sage_const_3 ))((x - _sage_const_1 )),x)
^
SyntaxError: invalid syntax
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