Question 1097310
f(x+h)-f(x)/h gives us the first derivative of a given function as h approaches 0
:
we are given f(x) = (4/x) + 2
:
a) (4/(x+h)) + 2
:
b) (4/(x+h)) + 2 - (4/x) - 2 =
:
4/(x+h) - (4/x) =
:
4x - 4(x+h) / x(x+h) =
:
4x -4x -4h / x(x+h) =
:
-4h / x(x+h)
:
c) (-4h / x(x+h)) / h = 
:
-4h / xh(x+h) =
:
-4 / x^2 + xh 
:
as h approaches 0, we have -4/x^2
: