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

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ARW Exercise 2.1 Download PDF (839.71 KiB, 2048 downloads) View Online
ARW Exercise 2.2 Download PDF (707.35 KiB, 22410 downloads) View Online
ARW Exercise 2.3 Download PDF (497.05 KiB, 1829 downloads) View Online
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ARW Exercise 2.5 Download PDF (429.5 KiB, 1979 downloads) View Online
ARW Exercise 2.6 Download PDF (893 KiB, 5417 downloads) View Online