# Math Help - Is the function f(x) differentiable?

1. ## Is the function f(x) differentiable?

2. Do you know the sufficient and necessary conditions for a function to be differentiable?

3. Originally Posted by acarril2

$\displaystyle \lim_{x \to 0}\frac{f(x)-f(0)}{x-0}$
2) Use $\lim_{h\to 0} \frac{f(h)- f(0)}{h}$ to find the derivative AT x= 0.