is there a difference between derivative of a function and derivative at a point?

Shadow_

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is there a difference between the derivative of a function and the derivative at a point? If so please explain to me what it is
 

tkhunny

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is there a difference between the derivative of a function and the derivative at a point? If so please explain to me what it is
A derivative of a function is a function everywhere it exists. It is not a single value, but represents all possible values.

A derivative of a single variable function, at a particular point, can be interpreted as the slope of the function at that point. It is a single value.

Why do you ask? What has caused you to ask this question?
 

JeffM

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is there a difference between the derivative of a function and the derivative at a point? If so please explain to me what it is
The derivative of a function is a function. The derivative at a point is a numeric value.
 
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