====== 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====
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  * 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]]
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==== Notes by Prof M. Tanveer ====
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  * 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]]
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{{tag>BSc Solutions_of_Calculus_BSc Prof_M_Tanveer}}