Question

The linearization for f(x)=sqrt x^2+9 near x=-4 is?

Answer 1

you mean linear approximation?

Answer 2

yes

Answer 3

well the question just asks for "the linearization" so I'm guessing thats what it means

Answer 4

can you solve it?

Answer 5

I have the solution just give me a minute.

Answer 6

ok thanks

Answer 7

f(x) in this case is give and for x= -4

Then we find the derivative of f(x) and we use the formula f(x) = f(a) + f'(a)(x-a)

Answer 8

if my explanations where not clear you can use this: http://tutorial.math.lamar.edu/Classes/CalcI/LinearApproximations.aspx

Answer 9

thanks a lot!

Answer 10

No worries man anytime.