Limit Definition of Derivatives

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

f'(x)=

• an equation for the slope of the tangent line

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• 10

• DNE

• 2

• 4

• 6

• 8

If a function f(x) has a derivative that is negative, what does that tell you?

• The function f(x) is increasing

• The function f(x) is decreasing

Tags

CCSS.HSF.IF.B.4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which graph is the derivative of the top graph?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

• 1

• 0

• ∞

• doesn't exist

Find the slope of the tangent line at x=2 for the function f(x) = 3x² - 5.

• 10

• 11

• 12

• 13