IB MATH AA HL, Paper 1, November, 2022, TZ0, Solved Past Paper

We have a function g(x) which is structured as the exponential of x squared plus one, more precisely $(g(x)=e^{x^2+1})$, where x belongs to the set of real numbers.

Your task is to determine the derivative of this function at x = -1. Simply put, you need to calculate the rate at which the function's value is changing at that particular point.

Imagine you're drawing a circle on a graph. The circle is defined by its diameter line AB. The point A is located at the coordinates (1, 4, 0) and point B sits at (-3, 2, -4).

By mentioning these specific points, the question guides you to consider the positions where the diameter of the circle intersects the circle's edge in a three-dimensional space. The coordinates given for A and B help in determining the center and radius of the circle, which are crucial for its representation.