Academic Standard: Cluster

Understand the derivative at a point.
Initiative: 
Tennessee State Standards
Framework: 
Mathematics
Type: 
Cluster
Code: 
TSS.Math.C.D.CD.B
Grade range: 
No grade range
 
Elements within this Cluster
 
Standard
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.