Question

Linearization of F(x), x= a

f(x) = 1/(6x+2)
a=0

Answer 1

so i take the derivative and f(x)

i get \[\frac{ 6 }{ (6x+2)^2 }\]

Answer 2

plug 0 into both f(x) and \[f \prime (x) \]

Answer 3

f(0) = 1/2
and
f'(0) = -1.5

so plug into linearization formula

\[L(x) = F(0) + F'(0)(x-n)\]

this comes out to

L(x) = 1/2 + (-1.5)(x-0)

is that correct?

Answer 4

your derivative is wrong.

Answer 5

forgot the (-)

Answer 6

yep!

Answer 7

oh, you solved using the negative but forgot to write it above
yeah you're right