Quadratic approximation  Derivative Applications
Quadratic approximation
Basic concepts:
 Linear approximation
Lessons
Notes:
The formula for quadratic approximation is:
Where:
$f(a) + f'(a)(x  a)$ is the linear part
$\frac{f''(a)}{2}(x  a)^{2}$ is the quadratic part.

1.
Approximating values using Quadratic Approximations
Find the Quadratic approximation to the function at the given point:

2.
Consider the function $f(x) = \sqrt{x}$