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Chapter 02: The Derivative

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.

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

  • Exercise 2.4 | Not available
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