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..Derivative of Sum of Two Functions
Let y = u + v, where u and v are differentiable functions of x. or (u + v)' = u' + ..
Let y = u + v, where u and v are differentiable functions of x. or (u + v)' = u' + ..Critical Constant and Van der Waal's Constant
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 compressibilit..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
Derivability implies continuity Derivative of a constant function is zero. ..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..Limitations of Dimensional Analysis
Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the relation connecting two or more ph..
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..
Relation between the roots of a quadratic equation
Our investigation reveals that there is a definite relationship between the roots of a quadratic equation and the coefficient of the second term and the constant term. The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second..
Result
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