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

Download or view online

ARW Exercise 2.1 Download PDF (839.71 KiB, 390 downloads) View Online
ARW Exercise 2.2 Download PDF (707.35 KiB, 7636 downloads) View Online
ARW Exercise 2.3 Download PDF (497.05 KiB, 6800 downloads) View Online
ARW Exercise 2.4 Not available
ARW Exercise 2.5 Download PDF (429.5 KiB, 6124 downloads) View Online
ARW Exercise 2.6 Download PDF (893 KiB, 10962 downloads) View Online