Find f^ prime (x) ) using the limit formula. Show all work. f(x) = 7/x

Answer 1

Get a common denominator to combine the top. Multiply 7/(x + h) by "x/x" and 7/x by (x+h)/(x+h) to get:

Simplify and cancel the h in numerator and denominator to get:

Plug in h = 0 to get f '(x) = -7/x²

Answer 2

I hope this helped!