- #1
iamsmooth
- 103
- 0
Homework Statement
i have for example, questions like [itex]f(x)=\frac{1}{x^2-4}[/itex] and [itex]f(x)=\frac{1}{\sqrt{4-x^2}}[/itex]
Homework Equations
[tex]\frac{1}{x}=x^{-1}[/tex]
Derivative of a constant = 0
The Attempt at a Solution
So if I rewrite
[tex]f(x)=\frac{1}{x^2-4}[/tex]
as
[tex]f(x)=1(x^2-4)^{-1}[/tex]
then I derive:
[tex] f\prime(x)=0(x^2-4)^{-1}[/tex]
Then 0 times anything is 0. Well I guess 0 divided by anything is 0 too so I don't need to rewrite, but I think it looks better. Anyways is this true in general for the reciprocal of any equation? My class hasn't really talked about it, just an observation I'm making.
Thanks.