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": "calculate_standard_deviation", "description": "Calculates the standard deviation of a list of numbers.", "parameters": {"numbers": {"description": "The list of numbers.", "type": "List[Union[int, 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"}}}]
I have a list of numbers [100, 200, 300, 400, 500] and I want to calculate the standard deviation. Also, I have a function h(x) = sin(x) and I want to estimate its derivative at x = pi/4.
user
assistant
[{"name": "calculate_standard_deviation", "arguments": {"numbers": [100, 200, 300, 400, 500]}}, {"name": "numerical_derivative", "arguments": {"function": "lambda x: math.sin(x)", "x": "math.pi / 4"}}]