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": "find_kth_smallest_number", "description": "Finds the kth smallest number in a list.", "parameters": {"nums": {"description": "The list of numbers.", "type": "List[int]"}, "k": {"description": "The position (1-based index) of the smallest number to find.", "type": "int"}}}, {"name": "calculate_angle", "description": "Calculates the angle between the hour and minute hands of a clock.", "parameters": {"hour": {"description": "The hour value (1-12).", "type": "int"}, "minute": {"description": "The minute value (0-59).", "type": "int"}}}, {"name": "fibonacci_numbers", "description": "Generates the first n Fibonacci numbers.", "parameters": {"n": {"description": "The number of Fibonacci numbers to generate.", "type": "int"}}}, {"name": "average", "description": "Calculates the arithmetic mean of a list of numbers.", "parameters": {"numbers": {"description": "The list of numbers.", "type": "List[float]"}}}, {"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"}}}]
Estimate the derivative of the function f(x) = x^2 at x = 3 using numerical methods and find the 5th smallest number in the list [15, 12, 18, 10, 14, 16].
user
assistant
[{"name": "numerical_derivative", "arguments": {"function": "lambda x: x ** 2", "x": 3}}, {"name": "find_kth_smallest_number", "arguments": {"nums": [15, 12, 18, 10, 14, 16], "k": 5}}]