Question

Find the linearization L(x) of the following function: f(x) = x^3 + x^2 - 4; a=2

Answer 1

use the following formula
\[\Large L(x)=f(a)+f'(a)(x-a)\]
does this help ??

Answer 2

@kathyQ waiting for your reply ..

Answer 3

ok
f(a) =f(2)=(2)^3+(2)^2-4
f(2)=8+4-4=8
f'(x)=3x^2+2x
and f'(a) becomes
f'(a)=f'(2)=3(2)^2+2(2)=16

just put these values in the above given formula

Answer 4

sorry, i left to buy some stuff. let me check

Answer 5

so, the answer would be L(x) = 8 + 16x-16a, right?

Answer 6

i corrected my answer and plugged in 2 as a