Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 1 of 3)

The video tutorial introduces derivative rules for polynomials and natural exponential functions, focusing on simplifying the process without using the definition of derivatives. It covers the derivative of constant functions, the power rule, and the derivative of natural exponential functions. The tutorial includes examples to illustrate these rules, demonstrating how to find derivatives of various functions, including constant, power, and exponential functions.

What is the significance of the limit in the definition of the derivative?

What is the derivative of f(x) = x^3?

How do you rewrite a function to apply the power rule?

Explain the process of finding the derivative of f(x) = 1/x^2.