The conversation between human and AI assistant.
In what ways are difference quotients and slopes related?
Ah, I see. Can you give me an example of how to use difference quotients to find the slope at a specific point?
Sure! Let's say we have the function f(x) = x^2 + 3x. To find the slope at the point (2,10), we would need to calculate the difference quotient (f(2 + h) - f(2)) / h and take the limit as h approaches zero. This would give us the slope of the tangent line to the function at the point (2,10).