given f(x)= -3-x^2
find and simplify the quotient = f(a+h)-f(a-h)/h
Here goes nothing !!!
[ - 3 - ( a + h)^2 ] - [ -3 - (a -h)^2 ]
_____________________________ =
h
[ -3 - ( a^2 + 2ah + h)^2 ] - [ -3 - (a^2 - 2ah + h^2) ]
__________________________________________ =
h
[-3 - a^2 - 2ah - h^2 - [ -3 - a^2 + 2ah - h^2 ]
________________________________________ =
h
[ -3 -a^2 -2ah - h^2 + 3 + a^2 - 2ah + h^2 ]
_______________________________________ =
h
- 4ah
____ =
h
-4a