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 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..
Constant function
A function f : A B Such that A, B R, is said to be a constant function if there exist K B such that f(x) = k. Domain = A Range = {k} The graph of this function is a line or line segment parallel to x-axis. Note that, if k>0, the graph B is above X..
A function f : A B Such that A, B R, is said to be a constant function if there exist K B such that f(x) = k. Domain = A Range = {k} The graph of this function is a line or line segment parallel to x-axis. Note that, if k>0, the graph B is above X..Derivative of a Function
So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have to compute the derivative by repeating the same process. ..
Derivative at a Point
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (..
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (..Derivative of tan x
Let f(x) = tan x. Then, we have ..
Let f(x) = tan x. Then, we have ..A cannon ball was fired, which raised into the air at a constant rate ..
A cannon ball was fired, which raised into the air at a constant rate of 30 ft/sec. Find the velocity and speed of the cannon ball. => 30 ft/sec, 30 ft/sec or 30 ft/sec, -30 ft/sec or -30 ft/sec, 30 ft/sec or None of the above..
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..
Homogeneous Equations (Constant = 0)
Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system. This solution is c..
Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system. This solution is c.. Result
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