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)
4. Applications of Derivatives
Related Rates
4. Applications of Derivatives
Related Rates: Study with Video Lessons, Practice Problems & Examples
35PRACTICE PROBLEM
Avogadro's law states that for a given temperature and pressure, the volume (in liters) and the number of moles of a gas are directly proportional, given by the equation , where is a constant. Suppose the volume of a gas is increasing at a rate of when the volume and the number of moles is . Determine the rate at which the number of moles is changing at this moment.
Avogadro's law states that for a given temperature and pressure, the volume (in liters) and the number of moles of a gas are directly proportional, given by the equation , where is a constant. Suppose the volume of a gas is increasing at a rate of when the volume and the number of moles is . Determine the rate at which the number of moles is changing at this moment.