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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. ..Derivative of a Constant of a Function
Let f (x) = k u(x) where k is a constant and u = u(x), x R, be a differential function of x. We then have ..
Let f (x) = k u(x) where k is a constant and u = u(x), x R, be a differential function of x. We then have ..Rules for Writing Equilibrium Constant Expressions
Expression for the equilibrium constant of a reaction is written in the form of a ratio. The numerator consists of the molar concentration (or partial pressure) terms of the products each raised to a power equal to its stoichiometric coefficient in the balanced chemical equation, an..
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..
Working Rule for Finding Extremum Values Using First Derivative Test
Let f (x) be the real valued differentiable functio..
Derivative of a Function of a Function
The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable function of x, then the deriva..
Derivative of a Function of a Function
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But h..
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But h..The graph shows the relationship between distance and time for a truck..
The graph shows the relationship between distance and time for a truck driven at a constant speed. Make a table for the function and write a rule to represent the function. => Distance = 15 + time or Distance = 15 × Time or Distance = 5 × Time or Distance = Time - 5 ..
Derivation of de-Broglie Relationship
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 ..
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 ..Product Rule for Differentiation
'Derivative of the product of two functions = first function x derivative of second function + second function x derivative of first function..
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