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@snaka
Created May 4, 2018 06:59
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jupyter test
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 指数関数と対数関数"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 指数"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Nv86VCqa/kVJql9Z6QmvH+VzV1Vo/qrVO0VqnAouB9ZdLeqK5QYMGGTO2FBcXyxC2Dujw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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f150807ae10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 指数関数のグラフ\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"x = np.linspace(-4, 4, 100)\n",
"y = 2**x\n",
"y2 = 3**x\n",
"y3 = 0.5**x\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.plot(x,y, 'black', linewidth=3, label='$y = 2^x$')\n",
"plt.plot(x,y2, 'cornflowerblue', linewidth=3, label='$y=3^x$')\n",
"plt.plot(x,y3, 'gray', linewidth=3, label='$y=0.5^x$')\n",
"plt.ylim(-2, 6)\n",
"plt.xlim(-4, 4)\n",
"plt.grid(True)\n",
"plt.legend(loc='lower right')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 対数"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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btm1z3KS7LEopunTpQv/+/bn77rtp2bKlW7IVFBQwZMgQ8vPzGTt2LIGB5f8Y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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f14f02267b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 対数のグラフ\n",
"x = np.linspace(-8, 8, 100)\n",
"y = 2**x\n",
"x2 = np.linspace(0.001, 8, 100) # 0 はエラーになるので避ける\n",
"y2 = np.log(x2) / np.log(2) # 底を2としたlogを計算\n",
"\n",
"plt.figure(figsize=(5,5))\n",
"plt.plot(x, y, 'black', linewidth=3)\n",
"plt.plot(x2, y2, 'cornflowerblue', linewidth=3)\n",
"plt.plot(x, x, 'black', linestyle='--', linewidth=1)\n",
"plt.ylim(-8, 8)\n",
"plt.xlim(-8, 8)\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 指数関数の微分"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"指数関数 $ y = a^x $ の $ x $ に対する微分は以下の式となる\n",
"\n",
"$$\n",
"y' = (a^x)' = a^x \\log a \n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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+/Oc/06tXr+YKXTSBJAYBVD9pSExMpLS0lGHDhtn8bPr06fTo0YNhw4bh5eVF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\niDokMQgh6vj/u+CFWct2O4IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f14e46bae48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 指数関数の微分のグラフ\n",
"x = np.linspace(-4, 4, 100)\n",
"a = 2\n",
"y = a**x\n",
"dy = np.log(a) * y\n",
"\n",
"plt.figure(figsize=(4,4))\n",
"plt.plot(x, y, 'gray', linestyle='--', linewidth=3)\n",
"plt.plot(x, dy, color='black', linewidth=3)\n",
"plt.ylim(-1, 8)\n",
"plt.xlim(-4, 4)\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 対数関数の微分"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"対数関数の微分の公式は以下\n",
"$$\n",
" y'(x) = (\\log x)' = \\frac{1}{x}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# 対数関数の微分のグラフ\n",
"x = np.linspace(0.0001, 4, 100)\n",
"y = np.log(x)\n",
"dy = 1 / x\n",
"\n",
"plt"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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