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The derivative of a quotient is:

(bottom times deriv of the top) - (top times deriv of bottom) all divided by (bottom squared).

I want you to know that after 51 years, I not only remember that, but I know how to use it too.

Derivative of (25x + 4) / (x+4) with respect to 'x' =

[ (x+4)(25) - (25x+4) ] / (x+4)2

= (25x + 100 - 25x - 4) / (x+4)2

= 96 / (x2 + 8x + 16)

There you go. We not only told you how to do it, we also did it for you.
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∙ 16y ago

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