Answer:
dy/dx = -1/[tex]x^{2}[/tex]
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx([tex]x^{-1}[/tex])
=> dy/dx = -[tex]x^{-2}[/tex]
=> dy/dx = -1/[tex]x^{2}[/tex]