Question

Linearize f(x)=10x^2-5x+2 Near: a. x0 =8, x0 = 5.
Find:
a. y:
b. y:

Answer 1

For x near a:
f(x) = f(x) + f'(x) (x-a)

NOW: f(8) = 602

Linearization of function near x = 8:

f(x) = 602 + (20x - 5)(x-a)