In [1]:

    

from sympy import *
from sympy.abc import x, y, z
init_printing(use_latex='mathjax')


    

In [2]:

    

x + y


    

    
Out[2]:





$$x + y$$

In [3]:

    

type(x + y)


    

    
Out[3]:





sympy.core.add.Add

In [4]:

    

expr = sin(x)**2 + 2*cos(x)
expr


    

    
Out[4]:





$$\sin^{2}{\left (x \right )} + 2 \cos{\left (x \right )}$$

In [5]:

    

ccode(expr)  # C


    

    
Out[5]:





'pow(sin(x), 2) + 2*cos(x)'

In [6]:

    

fcode(expr)  # Fortran


    

    
Out[6]:





'      sin(x)**2 + 2*cos(x)'

In [7]:

    

jscode(expr) # JavaScript


    

    
Out[7]:





'Math.pow(Math.sin(x), 2) + 2*Math.cos(x)'

In [8]:

    

latex(expr)  # Even LaTeX


    

    
Out[8]:





'\\sin^{2}{\\left (x \\right )} + 2 \\cos{\\left (x \\right )}'

In [9]:

    

expr


    

    
Out[9]:





$$\sin^{2}{\left (x \right )} + 2 \cos{\left (x \right )}$$

In [10]:

    

expr.diff(x)


    

    
Out[10]:





$$2 \sin{\left (x \right )} \cos{\left (x \right )} - 2 \sin{\left (x \right )}$$

In [11]:

    

expr.diff(x).diff(x)


    

    
Out[11]:





$$- 2 \sin^{2}{\left (x \right )} + 2 \cos^{2}{\left (x \right )} - 2 \cos{\left (x \right )}$$

In [12]:

    

ccode(expr.diff(x).diff(x))


    

    
Out[12]:





'-2*pow(sin(x), 2) + 2*pow(cos(x), 2) - 2*cos(x)'

In [13]:

    

expr.diff(x).diff(x)


    

    
Out[13]:





$$- 2 \sin^{2}{\left (x \right )} + 2 \cos^{2}{\left (x \right )} - 2 \cos{\left (x \right )}$$

In [14]:

    

simplify(expr.diff(x).diff(x))


    

    
Out[14]:





$$- 2 \cos{\left (x \right )} + 2 \cos{\left (2 x \right )}$$

In [15]:

    

ccode(simplify(expr.diff(x).diff(x)))  # Faster code


    

    
Out[15]:





'-2*cos(x) + 2*cos(2*x)'