This video explains linearization and linear approximation and works through two examples.
Example 1: Find the linearization of f(x)=x^1/3 at x=8. Use the linearization to find an approximation for f(8.1).
Example 2: Approximate 2.01^5 using linearization.
Are you taking AP Calculus AB or AP Calculus BC? This video covers:
Unit 4 – Contextual Applications of Differentiation
4.6 Approximating Values of a Function Using Local Linearity and Linearization
Chapters:
0:00 Intro Problem and Explanation
4:18 Example 1
7:58 Example 2
#calculus #apcalculus #apcalculusab #apcalculusbc #derivative #differenatiation #linearization #linearapproximation #locallinearity
