increasing decreasing and constant functions


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Increasing and Decreasing Functions
Increasing and Decreasing Functions - This section explains how derivative can be used to check whether a function is increasing, decreasing or neither increasing nor decreasing in its domain. Let f be a function..
Increasing and Decreasing Functions
Let f be a function defined on an interval I and let x 1 and x 2 be any two points on I. (i) f is said to be increasing in the interval I, ..
When the dividend remains constant and the divisor increases, then ___..
When the dividend remains constant and the divisor increases, then ___________. => quotient remains the same or remainder decreases or quotient decreases or quotient increases..
Constant function
A function f : A g B is said to be a constant function, if ..
What happens to the quotient as the divisor is increased while the div..
What happens to the quotient as the divisor is increased while the dividend remains constant? => quotient increases or remainder increases or dividend increases or quotient decreases..
Identify the constant function from the graphs.
Identify the constant function from the graphs. => Graph 1 or Graph 3 or Graph 2 or Graph 4..
Working Rule to Check Whether a Differentable Function is Increasing or Decresing
(1) Let the given function be f (x) on the real number line R. (2) Differentiate the function f(x) with respect to x and equate it to zero i.e., put f '(x) = 0. Solve for x. These values of x which satisfy f '(x) = 0 are called Critical values of the function (3) Arra..
Derivative of a Constant
Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..
Identify the constant function from the graphs.
Identify the constant function from the graphs. => Graph 5 or Graph 4 or Graph 1 or Graph 2 or Graph 3..
Which of the following represents a constant function?
Which of the following represents a constant function? => y = 2 or y = | x | + 4 or y = x or y = 2 x + 3..
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