Posted by Michael on Thursday, November 11, 2010 at 9:56pm.
Find the linear approximation of the function f(x) = √16x 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(16x)?
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)/(16x)^1/2 = 1/8
In linear approximation,
f(x) = f(0) + f'(0)*x
= 4  (x/8)
Answer This Question
Related Questions
 calc  For each function below find the best linear approximation (linearization...
 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+4x8. 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...
More Related Questions