数值微分计算器（前向/后向/中心差分）

POST http://127.0.0.1:3003/zh/api/tools/numerical-differentiation

{
  "mcpServers": {
    "elysiatools-numerical-differentiation": {
      "name": "numerical-differentiation",
      "description": "在指定点用三种有限差分近似 f′(x₀)：前向 (f(x₀+h)−f(x₀))/h、后向 (f(x₀−h) 差分) 与中心 (f(x₀+h)−f(x₀−h))/(2h)，另给中心二阶差分 f″。可选填精确导数以显示各方法绝对误差，直观对比 O(h) 与 O(h²) 截断误差。示例：f=x²、x₀=1、h=0.1 时前向 2.1、后向 1.9、中心恰好 2.0。",
      "baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=numerical-differentiation",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "numerical-differentiation",
    "arguments": {
  "fx": "x^2",
  "x0": 1,
  "h": 0.1,
  "exactDy": "2x",
  "decimalPlaces": 6
}
  }
}