Linear Approximation
A linear approximation is an approximation of a general function using a linear function. Given a differentiable function f variable, of one realTaylor's theorem for n=1 states:
f(x) = f(a) + f '(a)(x - a) + R2
f(x) ≈ f(a) + f '(a)(x - a)
where
R2
represents the remainder term. By dropping the remainder
term, a linear approximation may be obtained as:
f(x) ≈ f(a) + f '(a)(x - a)
which is true
for x close to a.
