# What does this mean f '(2)

1. Feb 12, 2007

### afcwestwarrior

is it the same as f(2)

2. Feb 12, 2007

### d_leet

No. It usually means the derivative of f evaluated at 2.

3. Feb 13, 2007

### Gib Z

$$f'(2) = \lim_{h \rightarrow 0} \frac{f(2+h) - f(2)}{h}$$

4. Feb 13, 2007

### afcwestwarrior

thanks man

5. Feb 13, 2007

### mathwonk

one is height of graph at x=2, one is slope of graph at x=2.

6. Feb 13, 2007

### Hurkyl

Staff Emeritus
f is a function.

f' is a function: it's the derivative of f.

f'(2) is the result of plugging 2 into the function f'