Tuesday

September 16, 2014

September 16, 2014

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

- Linearization -
**drwls**, Thursday, November 11, 2010 at 10:11pmWhat 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 ...

Math (linear approximation) - Find a linear approximation of the function f(x)=(...

Calculus - Use linear approximation, i.e. the tangent line, to approximate (the ...

Math - Find an equation of the line that bisects the obtuse angles formed by the...

Calculus - Suppose that you can calculate the derivative of a function using the...

college math - I'm trying to find why the linear function f(-x)=x√x^2+2 ...

calculus - se differential, i.e., linear approximation, to approximate (8.4)^(1/...

calculus - Use a linear approximation of f(x)=^3√x at x=8 to approximate ^...