🤨 Week 29 Quizizz |Function Characteristics and Derivatives 🤨

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

• (-3, 1)

• (-∞, -5) ∪ (0, 2)

• (-∞, -3) ∪ (1, ∞)

• (-5, 0) ∪ (2, ∞)

The concavity of a function is described by its _______________.

• first derivative

• second derivative

• third derivative

• expression

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.

• increasing

• decreasing

• concave up

• concave down

Over what intervals is f(x) decreasing?

• (-∞, -1) ∪ (1, ∞)

• (-∞, -√3) ∪ (0, √3)

• (-1, 1)

• (-√3, 0) ∪ (√3, ∞)

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x

• f ''(x) =  2-30x⁵

• f ''(x) = -30x⁵

• f ''(x) = -150x⁴

Identify the critical points of the following function:
g(x)=2x³-3x²

• x=-1,1

• x=0,0

• x=0,-1

• x=0,1