Is f'(2) the Same as f(2)?

[afcwestwarrior]

is it the same as f(2)

 

[d_leet]

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

 

[Gib Z]

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

 

[afcwestwarrior]

thanks man

 

[mathwonk]

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

 

[Hurkyl]

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'