Practice Test for Linearization and Differentials
1. Find the differential of y=x^3-2x=1
2. Determine the linear approximation for at f(x)=₃√x . Use the linear approximation to approximate the value of ƒ(x)=₃√7.95
3. Determine the linear approximation for at f(x)=₃√x . Use the linear approximation to approximate the value of ƒ(x)=₃√8.05.
4. Find the differential of y=cosx
5. Given f(x)=x^3/4 and a=16, approximate f(15.9) by using differentials.
6. Find the differential of y=e^2x
7. Define the concept of linearization
8. Give step by step directions on how to find the Differential of y formula
9. Estimate the value of √9.021
10. Use differentials to approximate the value of the expression. √99.4
11. Find the linearization approximation of tan(42°) when a=(7π/30)
12. Explain when this formula is used y=f(a)+f’(a)(x-a)
13. (∆y/∆x) is equal to what?
