Hi my question is :

Show that is differentiable on

I began by the definition that A function is differentiable at c if and only if

I started by however i am now unsure on how to cancel the bit.

I am not sure on how to show this.

Thanks

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- Nov 21st 2010, 07:18 AMcooltownsproving the exponential function is differentiable
Hi my question is :

**Show that is differentiable on**

I began by the definition that A function is differentiable at c if and only if

I started by however i am now unsure on how to cancel the bit.

I am not sure on how to show this.

Thanks - Nov 21st 2010, 07:31 AMroninpro
It might be better to consider the alternate definition:

Then you would have to compute

(Handling the remaining limit depends on how you define .) - Nov 21st 2010, 08:00 AMchisigma
In...

http://www.mathhelpforum.com/math-he...tml#post582679

... it has been extablished that f(x) is differentiable in x=a if there exist a real constant k such that...

(1)

Now if You remember the 'fundamental limit'...

(2)

... You from (2) derive that is...

(3)

... so that (1) is verified...

Kind regards