Question

Find the derivative of the given function at the indicated point.

f(x)=1/x,a = 2

f′(a)= lim (f(a+h) - f(a))/h
h --> 0

Answer 1

f′(a)= lim (1/(2+h) - .5)/h
h --> 0

Im at this part, where do I go from here?

Answer 2

\[f'(x) =\lim_{h \rightarrow 0} -1/x^2\]

Answer 3

But how did you get from what I have to what you have?

Answer 4

\[f'(x)= \lim_{h \rightarrow 0}\frac{ \frac{ 1 }{ x-h }-\frac{ 1 }{ x }}{ h}\]