{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### New to Plotly?\n",
"Plotly's Python library is free and open source! [Get started](https://plotly.com/python/getting-started/) by dowloading the client and [reading the primer](https://plotly.com/python/getting-started/).\n",
"
You can set up Plotly to work in [online](https://plotly.com/python/getting-started/#initialization-for-online-plotting) or [offline](https://plotly.com/python/getting-started/#initialization-for-offline-plotting) mode, or in [jupyter notebooks](https://plotly.com/python/getting-started/#start-plotting-online).\n",
"
We also have a quick-reference [cheatsheet](https://images.plot.ly/plotly-documentation/images/python_cheat_sheet.pdf) (new!) to help you get started!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Imports\n",
"The tutorial below imports [NumPy](http://www.numpy.org/), [Pandas](https://plotly.com/pandas/intro-to-pandas-tutorial/), and [SciPy](https://www.scipy.org/)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import plotly.plotly as py\n",
"import plotly.graph_objs as go\n",
"from plotly.tools import FigureFactory as FF\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import scipy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Differentiate the Sine Function\n",
"How to use numerical differentiation to plot the derivative of the sine function $y = sin(x)$:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = np.linspace(0, 2*np.pi, 100)\n",
"y = np.sin(x)\n",
"\n",
"dy = np.zeros(y.shape,np.float)\n",
"dy[0:-1] = np.diff(y)/np.diff(x)\n",
"dy[-1] = (y[-1] - y[-2])/(x[-1] - x[-2])\n",
"\n",
"trace1 = go.Scatter(\n",
" x=x,\n",
" y=y,\n",
" mode='lines',\n",
" name='sin(x)'\n",
")\n",
"\n",
"trace2 = go.Scatter(\n",
" x=x,\n",
" y=dy,\n",
" mode='lines',\n",
" name='numerical derivative of sin(x)'\n",
")\n",
"\n",
"trace_data = [trace1, trace2]\n",
"py.iplot(trace_data, filename='numerical-differentiation')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Collecting git+https://github.com/plotly/publisher.git\n",
" Cloning https://github.com/plotly/publisher.git to /private/var/folders/tc/bs9g6vrd36q74m5t8h9cgphh0000gn/T/pip-req-build-OQPV6z\n",
"Building wheels for collected packages: publisher\n",
" Running setup.py bdist_wheel for publisher ... \u001b[?25ldone\n",
"\u001b[?25h Stored in directory: /private/var/folders/tc/bs9g6vrd36q74m5t8h9cgphh0000gn/T/pip-ephem-wheel-cache-RzeGWK/wheels/99/3e/a0/fbd22ba24cca72bdbaba53dbc23c1768755fb17b3af0f33966\n",
"Successfully built publisher\n",
"Installing collected packages: publisher\n",
" Found existing installation: publisher 0.11\n",
" Uninstalling publisher-0.11:\n",
" Successfully uninstalled publisher-0.11\n",
"Successfully installed publisher-0.11\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/IPython/nbconvert.py:13: ShimWarning:\n",
"\n",
"The `IPython.nbconvert` package has been deprecated since IPython 4.0. You should import from nbconvert instead.\n",
"\n",
"/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/publisher/publisher.py:53: UserWarning:\n",
"\n",
"Did you \"Save\" this notebook before running this command? Remember to save, always save.\n",
"\n"
]
}
],
"source": [
"from IPython.display import display, HTML\n",
"\n",
"display(HTML(''))\n",
"display(HTML(''))\n",
"\n",
"! pip install git+https://github.com/plotly/publisher.git --upgrade\n",
"import publisher\n",
"publisher.publish(\n",
" 'python_Numerical_Differentiation.ipynb', 'python/numerical-differentiation/', 'Numerical Differentiation | plotly',\n",
" 'Learn how to differentiate a sequence or list of values numerically',\n",
" title='Numerical Differentiation in Python. | plotly',\n",
" name='Numerical Differentiation',\n",
" language='python',\n",
" page_type='example_index', has_thumbnail='false', display_as='mathematics', order=6,\n",
" ipynb= '~notebook_demo/102')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 1
}