Ask Experts Questions for FREE Help !
Ask
    aussie_kris's Avatar
    aussie_kris Posts: 6, Reputation: 1
    New Member
    		  
    #1

    May 25, 2005, 08:07 PM
    Derivatives of Exponential functions
    Hey

    Can someone help with finding the derivative of y = xe^(-x/2)
    CroCivic91's Avatar
    CroCivic91 Posts: 729, Reputation: 23
    Senior Member
    		  
    #2

    May 26, 2005, 02:58 AM
    You are dealing with a formula of type f(x) = f1(x) * f2(x)
    In your example, f1(x) = x and f2(x) = e^(-x/2)
    Basic formula is f'(x) = ( f1(x) * f2(x) )' = f1'(x)*f2(x) + f1(x)*f2'(x)
    f1'(x) = 1
    f2'(x) = -(1/2)*e^(-x/2)

    So that means that f'(x) = 1*e^(-x/2) + x*(-(1/2))*e^(-x/2) = e^(-x/2)*(1 - (1/2)*x)
    aussie_kris's Avatar
    aussie_kris Posts: 6, Reputation: 1
    New Member
    		  
    #3

    May 26, 2005, 04:07 AM
    Thanks... I ended up working it out. Though me and a friend are stuck on trying to sketch it
    HANK's Avatar
    HANK Posts: 98, Reputation: 5
    Junior Member
    		  
    #4

    May 26, 2005, 02:59 PM
    Reference:
    Calc101.com

    HANK :confused:
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Exponential statistical contrast [ 5 Answers ]

Hello! I'm trying to figure out this problem: iI'm given a maximum and minimum value for 11 consecuitive values, and these values when plotted fit an exponential curve. So for example the values are: 21.361 18.136 16.029 13.672 12.793 12.394 11.143 11.090

Exponential decay [ 1 Answers ]

The radioactive decay formula is A = A0(1/2)^t/n, where A is the current amoutn of the radioactive sample, A0 is the original amount, t is the elapsed time and n is the length of the half life. The half life of Sodium-24 is 14.9h. A researcher begins with 100mg of sodium-24. What is the...

Exponential and Logarithmic functions [ 2 Answers ]

How do I find 1. Domain & Range 2. Intervals of increase/decrease 3. max./min values 4. intercepts 5. asymptotes 6. concavity for Exponential and Logarithmic functions. Can someone explain how I do this in detail plzzz

View more questions Search