You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "numerical_derivative", "description": "Estimates the derivative of a function at a given point using the central difference formula.", "parameters": {"function": {"description": "The function to calculate the derivative of.", "type": "Callable[[float], float]"}, "x": {"description": "The point at which to estimate the derivative.", "type": "float"}}}, {"name": "average", "description": "Calculates the arithmetic mean of a list of numbers.", "parameters": {"numbers": {"description": "The list of numbers.", "type": "List[float]"}}}, {"name": "cagr", "description": "Calculates the Compound Annual Growth Rate (CAGR) of an investment.", "parameters": {"start_value": {"description": "The initial value of the investment.", "type": "float"}, "end_value": {"description": "The final value of the investment.", "type": "float"}, "years": {"description": "The number of years between the initial and final values.", "type": "int"}}}, {"name": "is_perfect_square", "description": "Checks if a number is a perfect square.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}]
What is the estimated derivative of the function f(x) = ln(x) at x = 1? Also, is the number 49 a perfect square?
user
assistant
[{"name": "numerical_derivative", "arguments": {"function": "lambda x: math.log(x)", "x": 1}}, {"name": "is_perfect_square", "arguments": {"num": 49}}]