Answered: What does P(sub)n mean. I understand as…

What does P(sub)n mean. I understand as the purple line (the derivative) gets bigger it follows the f(x) line longer before going to infinitiy, what else might I be missing?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.6: Rules For Multiplication

Problem 18WE

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Question

What does P(sub)n mean. I understand as the purple line (the derivative) gets bigger it follows the f(x) line longer before going to infinitiy, what else might I be missing?