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bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives [2021/02/07 16:45] (current) – created - external edit 127.0.0.1
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 +====== Chapter 02: The Derivative ======
 +{{ :bsc:notes_of_calculus_with_analytic_geometry:calculus-with-analytic-geometry-ch02.jpg?nolink|Chapter 02: The Derivative BSc Calculus}}
 +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. 
  
 +Here are few online resource, which are very helpful to find derivative.
 +  * [[http://calc101.com/webMathematica/derivatives.jsp|Step-by-Step Derivatives]]
 +
 +  * [[http://www.derivative-calculator.net/|Calculate derivatives online, now with steps!]]
 + 
 +==== Contents and summary ====
 +  * Definition and notation
 +  * Geometrical interpretation of the derivative
 +  * Instantaneous velocity
 +  * Marginal functions in economics
 +  * General theorems on derivatives
 +  * Inverse trigonometric functions
 +  * Logarithmic and exponential functions
 +  * Derivative of hyperbolic functions
 +  * Implicit Differentiation
 +  * Logarithmic Differentiation
 +  * Differentials and approximation
 +  * Newtorn Raphson Method
 +  * Higer derivatives
 +  * Some standard nth derivatives
 +  * Leibniz rule
 +  * Functions of several variables
 +  * Open and closed rectangles
 +  * Limit and continuity
 +  * Partial derivatives
 +  * Differentiability
 + 
 +====Solutions====
 +<callout type="success" icon="fa fa-download">
 +  * Exercise 2.1    VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-1-Calculus|View online]]  |  [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-1-Calculus.pdf|Download PDF]]
 +
 +  * Exercise 2.2   | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-2-Calculus|View online]]  | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-2-Calculus.pdf|Download PDF]]
 +
 +  * Exercise 2.3    VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-3-Calculus|View online]]  | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-3-Calculus.pdf|Download PDF]]
 +
 +  * Exercise 2.4   | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-4-Calculus|View online]]  | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-4-Calculus.pdf|Download PDF]]
 +
 +  * Exercise 2.5   | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-5-Calculus|View online]]  | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-5-Calculus.pdf|Download PDF]]
 +
 +  * Exercise 2.6   | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-6-Calculus|View online]]  | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-6-Calculus.pdf|Download PDF]]
 +</callout>
 +
 +==== Notes by Prof M. Tanveer ====
 +<callout type="success" icon="fa fa-download">
 +  * Exercise 2.1 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-1-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-1-Calculus-Prof-M-Tanveer.pdf|Download PDF]]
 +
 +  * Exercise 2.2 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-2-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-2-Calculus-Prof-M-Tanveer.pdf|Download PDF]]
 +
 +  * Exercise 2.3 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-3-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-3-Calculus-Prof-M-Tanveer.pdf|Download PDF]]
 +
 +  * Exercise 2.5 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-5-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-5-Calculus-Prof-M-Tanveer.pdf|Download PDF]]
 +
 +  * Exercise 2.6 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-6-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-6-Calculus-Prof-M-Tanveer.pdf|Download PDF]]
 +</callout>
 +
 +{{tag>BSc Solutions_of_Calculus_BSc Prof_M_Tanveer}}