Question

Find the derivative of the function by the limit process.
f(x) =
7

x

Answer 1

If you mean f(x) =7x, i can give you a hand:
To find the derivative with the definition you always have to propose this limit:
\[\lim_{h \rightarrow 0} \frac{ f(x+h) - f(x) }{ h }\]
In this case we know that f(x)=7x\[\lim_{h \rightarrow 0}\frac{ 7(x+h) - 7x }{ h }\]
from there try to work with this limit to get the solution using the properties you know.

Answer 2

\[=\lim_{h \rightarrow 0}\frac{ 7x+7h - 7x }{ h }\]