Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Derivative of e^(x) = e^(x)

I know that d/dx [e^(x)] = e^(x).

My question:

Why is this the case?

Why is e^(x) its own derivative?

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Derivative of e^(x) = e^(x)

It might help to consider what we actually mean by e^x.

What is the definition of e^x?

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Derivative of e^(x) = e^(x)

It might help to consider what we actually mean by e^x.

What is the definition of e^x?

1. The hint does not help.

2. Can you explain in MATH FOR DUMMIES style of language?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,619

Re: Derivative of e^(x) = e^(x)

hi mathland

Somehow I knew in advance that you would want to know about this so I searched back through all my posts and found this:

http://www.mathisfunforum.com/viewtopic.php?id=25550

My last post in the thread was an offer to finish the lessons but only if the guy was interested.  I got no response then, but the offer still stands.

Reply on that thread please rather than this one.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Derivative of e^(x) = e^(x)

hi mathland

Somehow I knew in advance that you would want to know about this so I searched back through all my posts and found this:

http://www.mathisfunforum.com/viewtopic.php?id=25550

My last post in the thread was an offer to finish the lessons but only if the guy was interested.  I got no response then, but the offer still stands.

Reply on that thread please rather than this one.

Bob

Please, finish the lesson. I am interested. This is a lot to digest but not if I divide the reading into 2 or 3 days.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,619

Re: Derivative of e^(x) = e^(x)

Please reply in that thread.

B

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Derivative of e^(x) = e^(x)

Please reply in that thread.

B

Ok.