Answer:
- 3
Step-by-step explanation:
Differentiate f(x) using the power rule
[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given f(x) = [tex]\frac{3}{x}[/tex] = 3[tex]x^{-1}[/tex], then
f'(x) = - 3[tex]x^{-2}[/tex] = - [tex]\frac{3}{x^2}[/tex]
f'(1) = - [tex]\frac{3}{1}[/tex] = - 3
