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": "solve_quadratic", "description": "Computes the roots of a quadratic equation given its coefficients.", "parameters": {"a": {"description": "The coefficient of the quadratic term (x^2).", "type": "float"}, "b": {"description": "The coefficient of the linear term (x).", "type": "float"}, "c": {"description": "The constant term.", "type": "float"}}}, {"name": "factorial", "description": "Computes the factorial of a non-negative integer.", "parameters": {"n": {"description": "The non-negative integer to compute the factorial of.", "type": "int"}}}, {"name": "chi_square_independence_test", "description": "Performs a Chi-Square test for independence on a 2x2 contingency table.", "parameters": {"contingency_table": {"description": "A 2x2 contingency table represented as a list of lists.", "type": "List[List[int]]", "default": 0.05}, "significance_level": {"description": "The significance level for the Chi-Square test. Defaults to 0.05.", "type": "float, optional", "default": 0.05}}}, {"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"}}}]
What is the derivative of the function f(x) = x^2 at x=3?
user
assistant
[{"name": "numerical_derivative", "arguments": {"function": "lambda x: x ** 2", "x": 3}}]