the ladies in the upper right quadrant

(http://www.autoadmit.com/thread.php?thread_id=5708367&forum_id=2:#48833205)

1. FTC Part 1: If \( F(x) = \int_{a}^{x} f(t) \, dt \), then \( F'(x) = f(x) \) (under appropriate conditions).

2. FTC Part 2: If \( f \) is continuous on \([a, b]\) and \( F \) is an antiderivative of \( f \), then \( \int_{a}^{b} f(x) \, dx = F(b) - F(a) \).

IQ is not a perfect measure of mathematical ability, but research suggests:

- Average IQ (100) can grasp basic arithmetic and algebra.

- Above Average (~115+) can handle precalculus and introductory calculus concepts.

- High IQ (~125+) is typically associated with comfortably understanding rigorous calculus, including FTC.

However, understanding FTC depends more on mathematical training, persistence, and teaching quality than raw IQ. A person with an IQ of 110 who studies calculus thoroughly may grasp it better than someone with a higher IQ who hasn't practiced.

Key Factors for Understanding FTC:

1. Conceptual Foundation – Understanding limits, derivatives, and integrals.

2. Logical Reasoning – Following the proof (if attempted) or at least the intuition behind FTC.

3. Visualization – Recognizing that integration accumulates change, while differentiation gives an instantaneous rate.

While a minimum IQ of ~115-120 may correlate with the ability to grasp FTC, dedicated study matters more. Many people with average IQs can understand it with proper instruction and effort. Conversely, someone with a high IQ but no calculus background may struggle.

Let me know if you have any other question you would like me to answer OP while I'm not practicing family law.

(http://www.autoadmit.com/thread.php?thread_id=5708367&forum_id=2:#48835160)

but what did you ask it before this prompt that made it say "Actually,"

(http://www.autoadmit.com/thread.php?thread_id=5708367&forum_id=2:#48835165)