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)
2. Intro to Derivatives
Tangent Lines and Derivatives
2. Intro to Derivatives
Tangent Lines and Derivatives: Study with Video Lessons, Practice Problems & Examples
72PRACTICE PROBLEM
A scientist is studying the growth of a bacterial population in a lab culture. The experiment started at 8:00 AM, and the table shows the population t hours since the experiment started. The population size B(t) as a function of time t is modeled by the curve below.


Estimate the instantaneous population growth rate at PM.
A scientist is studying the growth of a bacterial population in a lab culture. The experiment started at 8:00 AM, and the table shows the population t hours since the experiment started. The population size B(t) as a function of time t is modeled by the curve below.
Estimate the instantaneous population growth rate at PM.