Derivative of a Constant
Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..
Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..Relationship between Critical Constant and Van der Waal's Constants
The relationship between critical constants of the gases and their Van der Waal constants is as follows: (i) V c = 3b (ii) P c = a/27b 2 (iii) T c = 8a/27Rb (iv) The critical compressibility factor Z c is given b..
Derivative of Some Important Functions
The Derivative of Some Important Functions are: 1. Derivative of a Constant, 2. Derivative of x n where n is any integer, 3. Derivative of a Constant of a Function, 4. Derivative of Exponential Functio..
Derivation of de-Broglie Relationship
The relationship may be derived by combining the mass-energy relationship proposed by Max Planck and Einstein. According to Planck, photon of light having energy E is associated with a wave of frequency n as: E = h n .....(1) According to Einstein, mass and energy are related as: E = mc 2..
The relationship may be derived by combining the mass-energy relationship proposed by Max Planck and Einstein. According to Planck, photon of light having energy E is associated with a wave of frequency n as: E = h n .....(1) According to Einstein, mass and energy are related as: E = mc 2..Derivation of de-Broglie Relationship
The relationship may be derived by combining the mass-energy relationship proposed by Max Planck and Einstein. According to Planck, photon of light having energy E is associated with a wave of frequency n as: E = h n .....(1) According to Einstein, mass and energy are related as: E = mc 2..
The relationship may be derived by combining the mass-energy relationship proposed by Max Planck and Einstein. According to Planck, photon of light having energy E is associated with a wave of frequency n as: E = h n .....(1) According to Einstein, mass and energy are related as: E = mc 2..Introduction
Integration and differentiation are a pair of inverse operations. So far, from a given function, we have been finding its derivative but the question arises: what is the function whose derivative is known? If the derivative of a function is given, then the functi..
Proof:
Let F(x) be any anti derivative of f(x) Similarly we know the Where C is constant of integration. (2) Two indefinite integrals with the same derivative lead to the same family of curves and so they are equivale..
Let F(x) be any anti derivative of f(x) Similarly we know the Where C is constant of integration. (2) Two indefinite integrals with the same derivative lead to the same family of curves and so they are equivale..Summary
1. f ' (a) exists at x = a iff Lf ' (a) = Rf ' (a). Where Rf '(a) is Right hand derivative and Lf '(a) is Left hand derivative. 2. Derivability implies continuity. 3. Derivative of a constant function is zer..
Advantages of Dimensional Analysis
Dimensional equations are used to validate the correctness of a physical equation. Dimensional equations are used to derive correct relationship between different physical quantities. Dimensional equations are used to convert one system of units to another. Dimensional equation..
Proof:
[Note that while using property (2), we can express two equivalent integrals by writing without mentioning the constants) More generally, combining property (2) and property (3), we can write Where f 1 , f 2 , .f n are functions and k 1 , k 2 , k n are real numbers. Example: Write an ..
[Note that while using property (2), we can express two equivalent integrals by writing without mentioning the constants) More generally, combining property (2) and property (3), we can write Where f 1 , f 2 , .f n are functions and k 1 , k 2 , k n are real numbers. Example: Write an .. Result
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