Derivatives of Curves. How do they work? How is the second derivative of a quadratic equation a constant? Is the second derivative the slope of the slope?
In: Mathematics
To add to other explanations: think of it in terms of physics. Start with the position. Take the time derivative, you get velocity which is the rate of change of position with time. Take the time derivative of velocity and you get acceleration, which is the rate of change of velocity with time. When, say, a car is accelerating at a constant rate, the acceleration is constant and thus the position function will be quadratic.
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