What is the derivative?
Q: What is the derivative?
A: The derivative is a way to show instantaneous rate of change, or the amount by which a function is changing at one given point.
Q: How is it typically written?
A: It is typically written as "dy over dx" or "dy upon dx", meaning the difference in y divided by the difference in x. Another common notation is f'(x), which means the derivative of function f at point x.
Q: Is d a variable?
A: No, d is not a variable and cannot be cancelled out.
Q: What does 'f' represent in this context?
A: In this context, 'f' represents a function.
Q: What does 'x' represent in this context?
A: In this context, 'x' represents a point on a graph.
Q: What does 'y' represent in this context?
A: In this context, 'y' represents the slope of the tangent line at that point on the graph.
Q: How can you read "f’(x)"? A: You can read "f’(x)" as "f prime of x".
