{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "Start your solution by plotting the graphs of the functions and predicting where the function will have its minimum value."
      ],
      "metadata": {
        "id": "7-mGZXjZYLY_"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "1. Implement the **brute force method** algorithm and apply it to solve the problem:\n",
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "rcG1SjA_M315"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "2. Implement the **dichotomy method** algorithm and apply it to solve the problem:\n",
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "MkKjwhn70uWA"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "3. Implement the **gradient descent method** algorithm and apply it to solve the problem:\n",
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "nstoq-Qx1VKP"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "4. Implement the **coordinate descent method** algorithm and apply it to solve the problem:\n",
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "Wf01RIa4NY1D"
      }
    }
  ]
}