Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

1) Watch & Note Brightstorm’s: 'The Definition of the Derivative' videos: Concept, Problem1, Problem 2, and Problem 3. 2) Watch & Note Brightstorm’s:'The Derivative Function' videos: Concept, Problem1, Problem 2, and Problem 3. 3) Complete Pre-Quiz: Intro to the Derivative (attached below) 4) Submit work here. Thomas’ Calculus 13th Edition answers to Chapter 2: Limits and Continuity - Section 2.2 - Limit of a Function and Limit Laws - Exercises 2.2 - Page 56 3 including work step by step written by community members like you. Textbook Authors: Thomas Jr., George B., ISBN-10: 0-32187-896-5, ISBN-13: 978-0-32187-896-0, Publisher: Pearson. Section 3-1: The Definition of the Derivative. In the first section of the Limits chapter we saw that the computation of the slope of a tangent line, the instantaneous rate of change of a function, and the instantaneous velocity of an object at (x = a ) all required us to compute the following limit. Derivative definition The derivative of a function is the ratio of the difference of function value f(x) at points x+Δx and x with Δx, when Δx is infinitesimally small. The derivative is the function slope or slope of the tangent line at point x.

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2.2 Definition Of Derivativeap Calculus