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`

Expanding...

(The entire section contains 141 words.)

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