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#!/usr/bin/env python
"""Differentiation example
Demonstrates some differentiation operations.
"""
from sympy import pprint, Symbol
def main():
a = Symbol('a')
b = Symbol('b')
e = (a + 2*b)**5
print("\nExpression : ")
print()
pprint(e)
print("\n\nDifferentiating w.r.t. a:")
print()
pprint(e.diff(a))
print("\n\nDifferentiating w.r.t. b:")
print()
pprint(e.diff(b))
print("\n\nSecond derivative of the above result w.r.t. a:")
print()
pprint(e.diff(b).diff(a, 2))
print("\n\nExpanding the above result:")
print()
pprint(e.expand().diff(b).diff(a, 2))
print()
if __name__ == "__main__":
main()
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