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)
5. Graphical Applications of Derivatives
Intro to Extrema
5. Graphical Applications of Derivatives
Intro to Extrema: Study with Video Lessons, Practice Problems & Examples
Back to all problems
1PRACTICE PROBLEM
Consider a cuboidal 8 m3 container with a square base and no top: each side of the base measures a, and the height of the container is b. Sketch the graph of the function that depicts the surface area of the container S(a) for a > 0.
Using the graph, estimate the value of a that minimizes the surface area, and round your answer to 2 decimal places.
Consider a cuboidal 8 m3 container with a square base and no top: each side of the base measures a, and the height of the container is b. Sketch the graph of the function that depicts the surface area of the container S(a) for a > 0.
Using the graph, estimate the value of a that minimizes the surface area, and round your answer to 2 decimal places.