Congrats! You have finished your exploration of differential calculus. This has been a jam-packed lesson, so pat yourself on the back for making it through the material. Let’s review what we have learned throughout the exercises:
- A limit is the value of a function approaches as we move to some x value.
- The limit definition of a derivative shows us how to measure the instantaneous rate of change of a function at a specific point.
- A derivative is the slope of a tangent line at a specific point. The derivative of a function f(x) is denoted as f’(x).
- The derivative of a function allows us to determine when a function is increasing, decreasing, or is at a minimum or maximum value.
We learned the following general derivative rules:
We also learned how to calculate derivatives for explicit functions:
Derivatives in Python
np.gradient()allows us to calculate derivatives of functions represented by arrays.