(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Okay, so.. I'm confused about this problem, because I'm nearly certain that there's no "correct" answer from the options given.

Consider the function f(x)=e^(x). Which of the following is equal to f'(e)? Note that there may be more than one

2. Answer options

a)

Lim (e^(x+h))/h

h->0

b)

Lim (e^(x+h)-e^(e))/h

h->0

c)

Lim (e^(x+h)-e)/h

h->0

d)

Lim (e^(x+h)-1)/h

h->0

e)

Lim (e^(e)) * (e^(h)-1)/h

h->0

f)

Lim e * (e^(h)-1)/h

h->0

3. The attempt at a solution

Since f(x)=e^(x)

f'(x)=e^(x) as well, and f'(e)=e^e

From that, I'm pretty sure that options a-d are undefined, as you can't divide by 0.

However, for option e: I got e^(e) - 1 as the answer (which isn't equal to f'(e))

and for option f: I got e-1 as the answer.

I'm confuzzled. Any help would be greatly appreciated!!!

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# Homework Help: Derivative of e^(x) evaluated at e

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