2.2 Limit Definition of the Derivative

Select BOTH limit definitions of the derivative

A derivative at a point is

• the slope of the tangent line at that point

• the slope of the normal line at that point

• the highest exponent in the function rule

• the average rate of change

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change at any point in its domain

• Common Denominator

Tags

CCSS.HSF.IF.B.4

• an equation for the slope of the tangent line

A line that touches the function at a given point and has a slope that is equal to the instantaneous rate of change at a given point.

• normal line

• tangent line

• delta line

• secant line

A line that touches the function at 2 given points.

• normal line

• tangent line

• delta line

• secant line

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6