Diff_1para_190618.ipynb

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    "#スクリプト部分の表示制御\n",
    "#https://qiita.com/simonritchie/items/d7dccb798f0b9c8b1ec5\n",
    "#の記事を用いて作成しました．大変有り難うございます．\n",
    "\n",
    "from IPython.display import HTML\n",
    "\n",
    "HTML(\"\"\"\n",
    "<button id=\"code-show-switch-btn\">スクリプトを表示する</button>\n",
    "\n",
    "<script>\n",
    "var code_show = true;\n",
    "$(\"div.input\").hide();\n",
    "\n",
    "function switch_display_setting() {\n",
    "    var switch_btn = $(\"#code-show-switch-btn\");\n",
    "    if (code_show) {\n",
    "        $(\"div.input\").hide();\n",
    "        code_show = false;\n",
    "        switch_btn.text(\"スクリプトを表示する\");\n",
    "    }else{\n",
    "        $(\"div.input\").show();\n",
    "        code_show = true;\n",
    "        switch_btn.text(\"スクリプトを非表示にする\");\n",
    "    }\n",
    "}\n",
    "\n",
    "$(\"#code-show-switch-btn\").click(switch_display_setting);\n",
    "</script>\n",
    "\"\"\")"
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   "cell_type": "markdown",
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   "source": [
    "##  1変数関数微分プログラム\n",
    "\n",
    "1変数関数の微分をインタラクティブに解くプログラムです．\n",
    "\n",
    "実行すると，$f$に1変数関数（変数は$x$を使って下さい）を入力するボックスがプログラム部分の直後に現れるので，関数を指定して下さい．$k$には微分の階数を$1$以上の整数値で入力して下さい．入力すると即座に関数の微分が表示されます．\n",
    "\n",
    "$f$として入力可能な関数はpythonのパッケージsympyで提供されている関数群です．大概の初等関数や有名な関数は使用可能と思われます．\n",
    "https://docs.sympy.org/latest/modules/functions/index.html\n",
    "\n",
    "【関数入力上の注意の一例】\n",
    "- $ax$はa*xのように書きます．\n",
    "- $x^{k}$はx**kのように書きます．\n",
    "- $\\frac{a}{b+c}$はa/(b+c)のように書きます．\n",
    "- $\\sqrt{x}$はsqrt(x)のように，$\\sqrt[n]{x}$はroot(x,n)あるいはx**(1/n)のように書きます．\n",
    "- $sin x$はsin(x)のように，$sin^{-1} x$はasin(x)のように書きます．\n",
    "- $e^{x}$はexp(x)のように，$a^{x}$はa**xのように書きます．\n",
    "- $\\ln x$はlog(x)のように，$\\log_{a}x$はlog(x,a)のように書きます．\n",
    "- $|x|$はAbs(x)のように，$[x]$はfloor(x)のように書きます．"
   ]
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
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   "source": [
    "from sympy import *\n",
    "init_printing()\n",
    "\n",
    "from ipywidgets import interact\n",
    "# インタラクティブ画面が出ない場合　：　「jupyter nbextension enable --py widgetsnbextension」をターミナル等で一度実行．\n",
    "# Try jupyter[https://jupyter.org/try]上では問題なく動作．"
   ]
  },
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   "cell_type": "code",
   "execution_count": 2,
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      "text/plain": [
       "interactive(children=(Text(value='1/( sin(3*x**2) + 3*x)', description='f'), Text(value='1', description='k'),…"
      ]
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     "metadata": {},
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   ],
   "source": [
    "# 1変数関数の微分をインタラクティブに解きます．\n",
    "x= symbols('x')\n",
    "\n",
    "@interact(f='1/( sin(3*x**2) + 3*x)', k='1')\n",
    "def f(f,k):\n",
    "    display(Eq(Derivative(f, x, int(k)), diff(f, x, int(k))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "source": []
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