Calculus (Derivatives)
posted by Mishaka on .
What is the derivative of the this functon?
g(x) = 500/x, x cannot equal 0.
I know that in order to fnd the derivative I need to put the function into the equation for evaluating derivatives as limits.
lim as h > 0 (f(x+h)  f(x))/h
I did this, but I am having difficulties simplifying it to evaluate the limit. Any help at all is appreciated!

Let K= 500
lim (K/(x+h)  K/x)/h
lim K (xxh)/x(x+h)h
= K (h/x(x+h)h=lim K 1/x(x+h)
= k/x^2
= 500/x^2 
Okay. So, 500/x^2 would be the simplified equation for the derivative, and from here I can figure that the limit is 5,000,000 as h approaches 0. Is this correct?

I too was able to come to the derivative of 500/x^2