First Derivative Test

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.HSS.ID.C.7

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

• x=0

• x=-5

• x=2

• x=-3

• decreasing

• increasing

• concave up

• constant

Where does the function, f(x) = 2x³ - 9x² + 12x -3 have relative max/min values?

• Rel max x = -1, Rel min x = 2

• Rel min x = 1, Rel min x = 2

• Rel max x = 1, Rel min x = 2

• Rel max x = 2, Rel min x = 1

Where is the function increasing?

Tags

CCSS.HSF-IF.C.7A

What is the relative maximum?

f(x) = x³ - 3x² - 1

• (0,-1)

• (-1,-5)

• (2,-5)

• (5,49)

when you check for sign changes at the critical points of a function, you are using the

• IVT

• MVT

• 1st Derivative Test

• 2nd Derivative Test