Derivatives in Calculus

Derivative or Derivatives:
 In calculus, a branch of mathematics, derivative is the measure of how a given function changes according to the inputs.
 A derivative can be taken as how much one quantity is changing according to the changes in some other quantity; for instance, the derivative of the position of a moving object with respect to time is its instantaneous velocity
In other words, for a real valued function of a single real variable, the derivative of a point is the slope of the tangent line to the graph of the function at that given point.
What is Derivative?
Derivative is the measure of the rate of change at any given point on a curve. The rate of change of a function is the slope of a line.
The derivative of f(x) when the limit extends from h to 0 is given by the formula:

Definition of Derivative