Elizabethq Elizabethq
  • 02-08-2019
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 02-08-2019

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

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