# slope of exponential curve

Discussion in 'Math' started by dileepchacko, Aug 12, 2008.

1. ### dileepchacko Thread Starter Active Member

May 13, 2008
102
1
Hi All

please derive the equation of the exponential curve. See the attachment of the Thread.

Consider the cure is smooth, what is the equation of this curve. Y axis : Amplitude ( A ) and X axis : Time ( T ). In a particular point Amplitude become K * A/6 , but there is no special point on X axis.

File size:
28 KB
Views:
37
2. ### thingmaker3 Retired Moderator

May 16, 2005
5,073
8
Is this a homework question? If so, please share what you have tried so far.

3. ### Ratch New Member

Mar 20, 2007
1,068
4
dileepchacko,

Your problem is rather undefined. What is "K" supposed to be? Sometimes you talk about the curve in the PDF as the "slope" of the curve, and other times you refer it as though it were the curve itself. The curve displayed does not go through 1 as a exponent curve would do. Can you clarify what you are asking?

Also a better job of proofreading would be in order. Even though English might not be your native language, you do know better because you don't let misspellings and other mistakes pass all the time.

Ratch

4. ### Mark44 Well-Known Member

Nov 26, 2007
626
1
dileepchacko,
This looks to me like an exponential function of the form
y = K * A/6 *(1 - Be^(-Ct))

This function is asymptotic to the horizontal line y = K * A/6. To find the constants B and C (which control the shape of the curve), you'll need to find a couple of points the graph goes through. From your graph, it looks like the graph goes through the origin, so you'll need one more to determine the two constants.
Mark