{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy as sm\n",
    "a, b, th, gama, x, t, y, z = sm.symbols(\"a, b, theta, gamma, x, t, y, z\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(a, b, theta, gamma, x, t, y, z)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a, b, th, gama, x, t, y, z\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "f"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = sm.Function('f')\n",
    "f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sin{\\left(f{\\left(t \\right)} \\right)} - \\frac{\\tan{\\left(\\frac{a}{b} \\right)}}{\\log{\\left(\\gamma \\right)}}$"
      ],
      "text/plain": [
       "sin(f(t)) - tan(a/b)/log(gamma)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr3 = sm.sin(f(t)) - sm.tan(a/b)/sm.log(gama)\n",
    "expr3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{2 a \\left(\\tan^{2}{\\left(\\frac{a}{b} \\right)} + 1\\right) \\tan{\\left(\\frac{a}{b} \\right)}}{b^{3} \\log{\\left(\\gamma \\right)}} + \\frac{\\tan^{2}{\\left(\\frac{a}{b} \\right)} + 1}{b^{2} \\log{\\left(\\gamma \\right)}}$"
      ],
      "text/plain": [
       "2*a*(tan(a/b)**2 + 1)*tan(a/b)/(b**3*log(gamma)) + (tan(a/b)**2 + 1)/(b**2*log(gamma))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "part1 = sm.diff(expr3, a)\n",
    "part2 = sm.diff(part1, b)\n",
    "part2"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "blade",
   "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": "3.10.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}