Question

Using differentials, find the approximate value of (0.999)1/10, upto three places of decimal.

Answer 1

Let y = f(x) = x1/10 and f(1) = (1)1/10 = 1

when a = 1, f(a) = f(1) = 1

we have to find out

f(0.999) = f(1 - 0.001)

δα = - 0.001