`f(x) = (x-4)/(x+4), c=3` Find f'(x) and f'(c).

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hkj1385 | (Level 1) Assistant Educator

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`f(x) = (x-4)/(x+4)`

`f'(x) = {(x+4) - (x-4)}/(x+4)^2`

`or, f'(x) = 8/(x+4)^2`

`thus, f'(c) = f'(3) = 8/(3+4)^2`

`or, f'(c) = f'(3) = 8/7^2 = 8/49`

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