The Limit Represents The Derivative Of Some Function F At Some Number A. State Such An F And A.

The limit represents the derivative of some function f(x) at some number a. Find f and a.

lim (h->0) of  ((7+h)^2-49)/h



Expert Answers

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Suppose that the function is `f(x)=x^2`  and `a = 7` .

You need to find the derivative of the function at  x=a=7, hence, using the limit definition of derivatives yields:

`f'(x) = lim_(h-gt0) (f(x+h)-f(x))/h`

`f'(x) = lim_(h-gt0) ((x+h)^2-x^2)/h`


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