First Derivative Test

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.HSF.LE.B.5

Over what interval(s) is f(x) increasing?

• (-∞, -3) ∪ (1, ∞)
• (-3, 1)
• (-5, 0) ∪ (2, ∞)
• (-5, ∞)

• (-∞, -1) ∪ (1, ∞)

• (-∞, -√3) ∪ (0, √3)

• (-1, 1)

• (-√3, 0) ∪ (√3, ∞)

Tags

CCSS.HSA.APR.B.3

Which of the following could be the graph of f ' , the derivative of f ?

• 
• 
• 
• 
• 

• A relative maximum at x=a

• A relative minimum at x=a

• No relative extrema at x=a

• A vertical tangent line at x=a

• x=0

• x=-5

• x=2

• x=-3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

If the first derivative of a function changes from positive to negative at a certain point, then that point is a known as a relative maximum.

• True (Facts)

• False (Not Facts)

• decreasing

• increasing

• concave up

• constant

Given this graph of f'(x), on what interval(s) is f increasing?

• (-1,2)

• (0,1) U (3,4)

• (-1,0) U (1,3)

• (2,4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7