Question

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

x

Answer 1

my guess is it is \[f(x)=\frac{7}{x}\]so \[f'(x)=\lim_{h\to 0}\frac{\frac{7}{x+h}-\frac{7}{x}}{h}\]

Answer 2

forgetting the limit for the time being, your job is to "simplify" the complex fraction \[\frac{\frac{7}{x+h}-\frac{7}{x}}{h}\]

Answer 3

ignore the \(h\) in the denominator, we can put that in later
subtract \[\frac{7}{x+h}-\frac{7}{x}\] what do you get ?