I need help in this pleaseee. // Compute (a) Δy and (b) dy for the given values of x and dx=Δx // y=16/x, x=4, Δx=−1 .

Question

Compute (a) Δy and (b) dy for the given values of x and dx=Δx // y=16/x, x=4, Δx=−1 .

Δy=

dy= 

Answer 1

Let f(x) = y = 16/x. So, f'(x) = -16/x²

Δy = f(x+Δx) - f(x) = f(3) - f(4) = 16/3 - 4 = 4/3 = 1.333

dy = f'(x)Δx = f'(x)dx = f'(4)(-1) = 16/16 = 1