increasing and decreasing functions relative extrema

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..

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, ..

Introduction - The study of world of life is as old as man itself. All living organisms are made up of a few elements which are repeated in each of them. The basic unit of life - cell, is a structural and functional entity of life. Of all the environmental factors that affect plant life, ..

Atomic Number (Z) is the number of protons in the nucleus of an atom. It is also equal to the number of electrons since the atom is electrically neutral. Mass Number (A) is the total number of neutrons and protons present in the nucleus of an atom. The periodic law given earlier is now modifie..

We see that as x increases, the value of e x also increases indefinitely. Also, as x decreases, the value of e x tends toward zero. The function e x is one-on..

>We see that as x increases, the value of e x also increases indefinitely. Also, as x decreases, the value of e x tends toward zero. The function e x is one-o..

In a game for every foul, points will be reduced. The graph shows points reduced for fouls. Which sentence describes how the number of fouls relates to the score? => The score is same as the number of fouls increases or The score decreases as the number of fouls i..

' decreases and reaches minimum value. If the angle of incidence is further increased, the angle of deviation is increased. Let d m be the angle of minimum deviation. The refracted ray in the prism in that case will be parallel to the base. For minimum de..

Which of the following statement(s) is/are true for the graph of the function f ( x ) = x sin x in the interval [- π, π]? I. x - intercepts are (0, 0), (- π, 0) and (π, 0). II. The graph is decreasing in (- π, 0). III. y - intercept is (0, 0). IV. The graph is ..

Which of the following statement(s) is/are true for the graph of the function f ( x ) = x 2 - 9 x 2 - 3 ? I. The graph is decreasing in (- 3 , 3 ) . II. The graph is increasing in (0, 3 ), ( 3 , ∞). III. x - intercepts are (- 3 , 0), ( 3 , 0). IV. y - intercept is..