Why is e^x and its dy/dx so important whats it used for
Favorites|Homepage
Subscriptions | sitemap
HOME > > Why is e^x and its dy/dx so important whats it used for

Why is e^x and its dy/dx so important whats it used for

[From: ] [author: ] [Date: 11-12-23] [Hit: ]
A = P(1 + r/n)^(nt).If you let n --> infinity (in other words, compound the interest continuously), then the expression on the right side becomes Pe^(rt).I hope this helps!-A lot of things in nature grow or decay at a rate proportional to their size.......
i saw a video on math and they said that e^x and its derivative are extremely important in real life.

thanks 10 points for best explanation

-
One thing that is important about e^x, especially in Calculus, is that e^x is it's own derivative. This allows e^x to model stuff that has a growth rate present to the current value. For example, population is "usually" modeled using exponential functions since population rate "usually" grows at a rate proportional to the current population. You will see a lot more of this function later on in Calculus, trust me.

About the relationship between e^x and banking: recall that the compound interest formula says that after you deposit an amount P at an interest rate r compounded n times per year, then the amount in the bank account after t years is:
A = P(1 + r/n)^(nt).

If you let n --> infinity (in other words, compound the interest continuously), then the expression on the right side becomes Pe^(rt).

I hope this helps!

-
A lot of things in nature grow or decay at a rate proportional to their size. This can be written as a differential equation

dy/dt = k y

This can be rewritten as

dy/y = k dt

and the solution is

ln y = kt + c

y = C e^(kt)

This equation applies to money (dividends are proportional to principle), population growth, radioactive decay, capacitor charge, and many other phenomina.

-
Be patient your instructor will explain later.

-
so cuz derivation of e raise to x is same i.e e raise to x.....dat means whatever the condition is u mst remain same in real life same like ' e raise to x'....:)
1
keywords: and,for,whats,is,Why,dx,its,it,so,important,used,dy,Why is e^x and its dy/dx so important whats it used for
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .