Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3/x, x = 4, Δx = 1

Solution:

y = 3/x

On differentiating y with respect to x, we get

dy/dx = -3x^-2

dy = ( -3x^-2)dx

    = ( (-3/(4)²)(1) = -3/16 = -0.1875

Δy = f(x + Δx) - f(x)

= f(4 + 1) - f(4)

=  f(5) - f(4)

=  3/5 - 3/4 

= -3/20 

= -0.15

Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3/x, x = 4, Δx = 1

Summary:

Δy = -0.15  and dy = - 0.1875  for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3/x, x = 4, Δx = 1