Question

Consider \(f (x) = (1 - x)^5\). Let's approximate this for \(x = 0.01\)

\(f' (x) =\) ? \((1 + x)^4\)

\(f (x) \simeq f (0) + f' (0) \cdot x\)

\(f (x) \simeq\) ? \(+\) ? \(x\)

\(f (0.01) \simeq\) ?

Answer 1

fill in the question marks

Answer 2

why do you have (1-x) for f(x) and (1+x) for f'(x)?

Answer 3

this is the way question is given