Write down the formula to linearize a function ( f(x) ) around an operating point ( x₀ ). Also, linearize ( f(x) = x³ - 3x ) around ( x₀ = 0 ).
a) ( f(x) ≈ f(x₀) + f'(x₀)(x - x₀) )
b) ( f(x) ≈ f(x₀) + f''(x₀)(x - x₀) )
c) ( f(x) ≈ f'(x₀) + f(x₀)(x - x₀) )
d) ( f(x) ≈ f''(x₀) + f'(x₀)(x - x₀) )