find dy for the given values of x and delta(x) y=1/x, x = 10 delta(x) -0.003

Question

find dy for the given values of x and delta(x) y=1/x, x = 10 delta(x) -0.003

Answer 1

dy = y'(x)dx; dy = y'(10)dx; y'(x) = - 1/x²; y'(10) = - 1/100; dx = Δx = - 0.003. So, dy = - 1/100·(- 0.003) = 3·10^-5