Question

Find the derivative of f(x) = 3/x at x = 1

Answer 1

Answer:

- 3

Step-by-step explanation:

Differentiate f(x) using the power rule

$\frac{d}{dx}$(a$x^{n}$ ) = na$x^{n-1}$

Given f(x) = $\frac{3}{x}$ = 3$x^{-1}$, then

f'(x) = - 3$x^{-2}$ = - $\frac{3}{x^2}$

f'(1) = - $\frac{3}{1}$ = - 3