Calculus Vocabulary

To say that a function f is differentiable at x means that

• f'(x) exists
• f'(x) doesn't exist
• f(x) exists
• f(x) doesn't exist

slope equation

• rise over run (change in y / change in x)
• differentiation
• y = mx + b

Tags

CCSS.8.EE.B.5

find the slope of the tangent line means

• find the derivative
• rise over run (change in y / change in x)
• average rate of change

the slope of a tangent line equals the slope

• of the curve at that point
• average rate of change
• differentiation

slope of the secant line formula can also be used for what?

• average rate of change
• instantaneous rate of change 
• instantaneous velocity (at a point x=a)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

slope of the secant line formula can also be used for what?

• average velocity (over an interval)
• instantaneous rate of change 
• instantaneous velocity (at a point x=a)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

slope of the tangent line formula can also be used for what?

• instantaneous rate of change 
• average rate of change
• average velocity (over an interval)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

slope of the tangent line formula can also be used for what?

• instantaneous velocity (at a point x=a)
• average rate of change
• average velocity (over an interval)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A derivative is not appropriate for finding the

• average rate of change
• slope of the tangent line
• instantaneous rate of change
• instantaneous velocity

Tags

CCSS.HSF-LE.A.1B

The process of finding the derivative of a function is called

• differentiation
• rise over run (change in y / change in x)
• the derivative will be positive
• the derivative will be negative
• the derivative will be equal to 0