Respuesta :
Answer:
The rate of change of function occurring as limit approaches zero is called as Derivative.
Step-by-step explanation:
Given:
The rate of change of function occurring as limit approaches zero
Solution:
Consider, rate of change using limits is give by,
f'(a)=limit[ f(t)-f(a)/(t-a)] as t tends to zero.
and it not possible to calculate t that last for zero seconds.
So this concept of Instantaneous rate of change and limit approaches zero is called as Derivative.
The rate of change of a function occurring as a limit approaches zero is called; Derivative
- In math's, there is a topic called calculus which is all about the study of continuous change. Now, there is a branch under it called Differentiation.
- Now, differentiation simply means the process of finding the rate of change or derivative of a given function.
For example, we want to differentiate the function; f(x) = x² + 3x + 2
What we are to do is to find the rate of change of f(x) with respect to x. Thus, if we want to differentiate with a limit as the function approaches zero, from the definition above, we can say we are trying to find the derivative of the function f(x) as it approaches zero.
- In conclusion, the rate of change of a function as a limit approaches zero is called derivative.
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