# 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 2.1 | View online | Download PDF

- Exercise 2.2 | View online | Download PDF

- Exercise 2.3 | View online | Download PDF

- Exercise 2.4 | View online | Download PDF

- Exercise 2.5 | View online | Download PDF

- Exercise 2.6 | View online | Download PDF

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