Learn to take the second derivative of exponential chain rule

The video tutorial explains the process of calculating the first derivative of a function, simplifying the resulting expression, and factoring out common terms. It begins with an introduction to derivatives, followed by a detailed calculation of the first derivative. The instructor then demonstrates how to simplify the expression by identifying and factoring out common terms, ensuring clarity and understanding of the mathematical process.

What is the first derivative of the function mentioned in the text?

Explain the process of simplifying the expression involving E to the power of X^2 - 3.

What common factor is identified in the expression, and how is it factored out?

How does the teacher verify the correctness of the derived expression?

Describe the relationship between the first and second derivatives as discussed in the text.