+0  
 
0
300
3
avatar

Please show me step by step of how to differentiate these two questions, as well as the rule you used. 

 

1. e4x

2. exp(-2x)

3. 20(1-e-2x)

 

Im having trouble differentiationing e. If you guys could answer these question, i can probably understand.

 

Thanks.

Guest Aug 3, 2017
 #1
avatar+26971 
+1

Here is the rule and its derivation:

 

 

You should now be able to do your questions by choosing an appropriate value for k.

.

Alan  Aug 3, 2017
 #2
avatar
0

Isn't that a circular argument ?

Do you not need to know the derivative of e^x in order to write down its series expansion ?

Guest Aug 3, 2017
 #3
avatar+26971 
+1

"Do you not need to know the derivative of e^x in order to write down its series expansion ?"

 

No.

 

ex is often defined as limitn→infinity(1+x/n)→ limitn→infinity(1 + n(x/n) + (1/2!)n(n-1)(x/n)2 + ...)

→ 1 + x + x2/2! + ...

 

Or sometimes just directly as 1 + x + x2/2! + ...

 

.

Alan  Aug 3, 2017

11 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.