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

iff' is continuous, show that:

[tex]\mathop{\lim}\limits_{x \to 0}(\frac{f(x+h)-f(x-h)}{2h})=f'(x)[/tex]

be sure to explain whyf' must be continuous

2. Relevant equations

not really any equations, this is for AP Calc BC and we've just done L'Hospital's theorem and the derivatives/integrals of logs and inverse trig functions.

3. The attempt at a solution

I know that as x-->0 it becomes [tex]\frac{f(h)-f(-h)}{2h}[/tex] . I thought about proving that the difference quotient can be manipulated into the above formula, but haven't had any success.

Any pointers?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Derivative Proof

**Physics Forums | Science Articles, Homework Help, Discussion**