Academic Standard: Cluster
Understand the derivative at a point.
Tennessee State Standards
No grade range
Interpret the derivative as the slope of a curve (which could be a line) at a point, including points at which there are vertical tangents and points at…
Approximate both the instantaneous rate of change and the average rate of change given a graph or table of values.
Write the equation of the line tangent to a curve at a given point.
Apply the Mean Value Theorem.
Understand Rolle's Theorem as a special case of the Mean Value Theorem.