as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
system
classify the type of point (maximum, minimum, or none) at the critical point of the differential equation y=3x^3 + 10x^2 + 5.
user
the critical point of the differential equation y=3x^3 + 10x^2 + 5 is x = -1/2, and it is a local minimum.
assistant