How do I graph the derivative of a function?
An example of an AI chatbot conversation about graphing derivatives.
How do I graph the derivative of a function?
To graph the derivative, you first need to find the derivative of the function. What function are you working with?
I'm working with f(x) = x^3 - 3x^2 + 2.
Great! The derivative f'(x) = 3x^2 - 6x. Now, you can plot this derivative function. Would you like help with that?
Yes, can you guide me on how to plot it?
Sure! You can create a table of values for f'(x) by choosing x values, calculating f'(x), and then plotting those points on a graph.
What x values should I choose?
A good range to start with is from -2 to 4. This will give you a clear view of the behavior of the derivative.
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