Table of contents
- 0. Functions(0)
- Introduction to Functions(0)
- Piecewise Functions(0)
- Properties of Functions(0)
- Common Functions(0)
- Transformations(0)
- Combining Functions(0)
- Exponent rules(0)
- Exponential Functions(0)
- Logarithmic Functions(0)
- Properties of Logarithms(0)
- Exponential & Logarithmic Equations(0)
- Introduction to Trigonometric Functions(0)
- Graphs of Trigonometric Functions(0)
- Trigonometric Identities(0)
- Inverse Trigonometric Functions(0)
- 1. Limits and Continuity(0)
- 2. Intro to Derivatives(0)
- 3. Techniques of Differentiation(0)
- 4. Applications of Derivatives(0)
- 5. Graphical Applications of Derivatives(0)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(0)
- 7. Antiderivatives & Indefinite Integrals(0)
- 8. Definite Integrals(0)
- 9. Graphical Applications of Integrals(0)
- 10. Physics Applications of Integrals (0)
- 11. Integrals of Inverse, Exponential, & Logarithmic Functions(0)
- 12. Techniques of Integration(0)
- 13. Intro to Differential Equations(0)
- 14. Sequences & Series(0)
- 15. Power Series(0)
- 16. Parametric Equations & Polar Coordinates(0)
4. Applications of Derivatives
Differentials
4. Applications of Derivatives
Differentials: Videos & Practice Problems
140 of 0
Problem 140Multiple Choice
A money worth \)3000 is deposited in a 4−year savings account that pays a fixed annual interest rate r (expressed as a decimal) with quarterly compounding. The amount in the account after 4 years is given by a(r)=3000(1+4r)16. Find the value of r (using Newton’s method) needed for the account to grow to \)4000 after 4 years.
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