Intro to Sympy.ipynb

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   "source": [
    "import sympy as sym"
   ]
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   "source": [
    "# Sympy is a symbolic computation library in python\n",
    "\n",
    "### Symbolic computation is the process of deriving mathematical insights by computing solutions using symbol manipulation\n",
    "\n",
    "---\n",
    "\n",
    "## Polynomial"
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   "source": [
    "e = x**2 + 2*x + 2*x"
   ]
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      "text/latex": [
       "$\\displaystyle x^{2} + 4 x$"
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       "x**2 + 4*x"
      ]
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    "e"
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    "##### Getting the average rate of change for polynomial\n",
    "\n",
    "For a given range\n",
    "$$\n",
    "\\frac{\\Delta f(x)}{\\Delta x}\n",
    "$$"
   ]
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       "6"
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    "### This is not the optimal way to write this. Currently, this function has O(n) time. It can be better.\n",
    "range_list = [0,2]\n",
    "def f(x):\n",
    "    return x**3 + 4\n",
    "\n",
    "def average_rate_of_change_for_polynomial(a_given_range):\n",
    "    length_of_range = len(range_list)\n",
    "    solution_set = [f(x) for x in range_list]\n",
    "    return (solution_set[length_of_range - 1] - solution_set[0]) - (range[length_of_range - 1] - range[0])\n",
    "\n",
    "solution_set = [f(x) for x in range_list]\n",
    "average_rate_of_change_for_polynomial(range_list)"
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