Question

How do you use the Quotient Rule to prove the Reciprocal Rule?

Answer 1

`d/(dx)(f(x)/g(x)) = (f'(x) g(x) - f(x) g'(x))/ (g(x))^2`

and `d/(dx)(1)=0`

`d/(dx)(1/g(x)) = (0* g(x) - 1* g'(x))/ (g(x))^2 = (- g'(x))/ (g(x))^2`