how to plot a graph in excel and find its derivative

In the graph above, the distance between any two maximums or minimums is #pi#. It is the distance between two maximums or two minimums. Look back at the definition above of 'period'. Note that the amplitude can never be negative, so it's given by #|a|#. What does this signify? It signifies there has been a reflection over the x axis, which means parameter #a# is negative. However, the graph of #y = cosx# has a maximum on the y axis, not a minimum like in our graph.

In this case, the equation of the maximum is #y = 2# while the equation of the normal is #y = 0#. The amplitude is given by #'equation of max' - 'equation of normal'#. This also signifies that there is no vertical displacement, or #d = 0# in #y = acosb(x - c) + d#. The normal line is the line that runs completely in the middle, so it is #x = 0#.

What is a cosine equation for the following graph?įirst, let's note the amplitude. This being done, we can now look at a few applications to these particular words. The vertical displacement is the displacement up or down from the y axis. The vertical displacement is given by #d# in #y = acosb(x - c) + d or y = asinb(x - c) + d#.The horizontal displacement means the number of units right or left in from the x axis The horizontal displacement is given by solving for #x# in #x - c = 0# in #y = acosb(x - c) + d or y = asinb(x - c) + d#.For sinusoidal functions, it is given by evaluating #(2p)i/b# in #y = acosb(x - c) + d or y = asinb(x - c) + d# The period of a graph is the distance on the x axis before the function repeats itself.It is given by parameter #a# in function #y = asinb(x - c) + d or y = acosb(x - c) + d# The amplitude of a graph is the distance on the y axis between the normal line and the maximum/minimum.A sinusoidal function is a function in sine or in cosine.Before we get to problems, I would like to go through a little bit of vocabulary.

How to plot a graph in excel and find its derivative