Posted by **Michael ** on Thursday, November 11, 2010 at 9:56pm.

Find the linear approximation of the function f(x) = √16-x at a = 0

- Linearization -
**drwls**, Thursday, November 11, 2010 at 10:11pm
What is a? It does not appear in your formula for f(x)

Do you mean

f(x) = (sqrt16) - x or sqrt(16-x)?

The first case is trivial: 4 -x.

For the second case, use the Taylor series formula.

At x=0, the derivative of f(x) is

f'(x) =

(-1/2)/(16-x)^1/2 = -1/8

In linear approximation,

f(x) = f(0) + f'(0)*x

= 4 - (x/8)

## Answer This Question

## Related Questions

- calc b - lINEAR APPROXIMATION; find a linearization at a suitably chosen ...
- calculus - Use the linearization approximation (1+x)^k=1+kx to find an ...
- calculus - Use the linearization approximation (1+x)^k=1+kx to find an ...
- linear approximation - a) Find the linear approximation of the function f(x)=...
- Math (linear approximation) - Find a linear approximation of the function f(x)=(...
- Calculus - Use linear approximation, i.e. the tangent line, to approximate (the ...
- AP CALC. AB - 1. Let f be the function given by f(x)=x^2+4x-8. The tangent line ...
- Calculus - Suppose that you can calculate the derivative of a function using the...
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- college math - I'm trying to find why the linear function f(-x)=x√x^2+2 ...

More Related Questions