My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
November 18th, 2012, 12:34 PM   #1
Member
 
Joined: Apr 2011

Posts: 47
Thanks: 0

Differentiating e

I have been given the equation y=xe^3x

The answer is e^3x (1 + 3x)

How?

I thought maybe they are pulling down the 3x and and multiplying by 1, but why +1?
jskrzy is offline  
 
November 18th, 2012, 12:53 PM   #2
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,155
Thanks: 463

Math Focus: Calculus/ODEs
Re: Differentiating e

We are given to differentiate:



Using the product and chain rules, we find:

MarkFL is offline  
November 18th, 2012, 12:58 PM   #3
Member
 
Joined: Apr 2011

Posts: 47
Thanks: 0

Re: Differentiating e

Oh I see. Thank you.

Another similar problem is e^(1+3t)^2

The answer is 6(1+3t)*e^(1+3t)^2

I just am not understanding how to get the 6(1+3t).

Thank you for the continued help.
jskrzy is offline  
November 18th, 2012, 01:08 PM   #4
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,155
Thanks: 463

Math Focus: Calculus/ODEs
Re: Differentiating e

Using the chain rule, we find:



MarkFL is offline  
November 18th, 2012, 01:56 PM   #5
Member
 
Joined: Apr 2011

Posts: 47
Thanks: 0

Re: Differentiating e

Ah, I see that we must split it up many times.

Can you offer your help on this equation?

y=x^2 * lnx

and

t^2 + 2lnt

Thank you for helping. I am slowly understanding
jskrzy is offline  
November 19th, 2012, 10:05 AM   #6
Math Team
 
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re: Differentiating e

Quote:
Originally Posted by jskrzy
Ah, I see that we must split it up many times.

Can you offer your help on this equation?

y=x^2 * lnx
What, exactly, do you want to do with this? Differentiate? Then use the product rule. .
Do you know the derivatives of and ?

and

t^2 + 2lnt

Thank you for helping. I am slowly understanding [/quote]
HallsofIvy is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
differentiating



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Help differentiating. Lucida Calculus 1 November 21st, 2012 02:57 PM
Differentiating pomazebog Calculus 4 March 18th, 2012 06:40 PM
Differentiating David_Lete Calculus 1 June 9th, 2010 06:49 AM
Help with Differentiating 450081592 Calculus 2 January 30th, 2010 09:29 PM
differentiating e^u ruit Calculus 8 August 30th, 2009 10:40 PM





Copyright © 2017 My Math Forum. All rights reserved.