Differentiation
Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.
Contents & summary
- Introduction
- Average Rate of Change
- Derivative of a Function
- Finding
f′(x) from Definition of Derivative- Derivative of
xn wheren∈Z - Exercise 2.1
- Differentiation of Expressions of the types
- Exercise 2.2
- Theorems on Differentiation
- Exercise 2.3
- The Chain Rule
- Derivatives of Inverse Function
- Derivative of a Function given in form of parametric Equations
- Differentiation of Implicit Relation
- Exercise 2.4
- Derivatives of Trigonometric Function
- Derivatives of Inverse Trigonometric Functions
- eXERCISE 2..5
- Derivative of Exponential Functions
- Derivative of the Logarithmmic Function
- Logarithmic Differentiation
- Derivative of Hyperbolic Function
- Derivative of the Inverse Hyperbolic Function
- Exercise 2.6
- Successive Differentiation ( or Derivatives)
- Exercise 2.7
- Series Expansions of Function
- Tailor Series Expansions of Function
- Exercise 2.8
- Geometrical Interpretation of a Derivative
- Increasing and Decreasing Function
- Relative Extrema
- Critical Values and Critical Points
- Exercise 2.9
- Exercise 2.10
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