Given a function, f(x), its derivative, at x= a, is provided that limit exists. If that limit does NOT exist, f is not differentiable and x= a and the derivative does not exist.
Derivative is an term that shows rate of change of somthing at any point so we can say derivaive are all about change. Example : f(x) = x^2
x f(x)
0 0
0.5 0.25
As x increases, so does f(x)
How Many Sides Does a Heptagon Have
The derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's instantaneous velocity.
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