Analyzing with Derivatives

• v(t) is decreasing

• v(t) is increasing

• the object is slowing down

• the object is speeding up

• the object is moving left

• the velocity is decreasing

• the object is slowing down

• the speed is negative

Tags

CCSS.HSF.IF.B.4

• the object is slowing down

• the object is speeding up

• the object is moving backward

• the speed is negative

• v(t) is increasing

• v(t) is decreasing

• the object is slowing down

• the object is speeding up

What is the characteristic found when the first derivative equals zero?

• The critical number

• The maximum

• The minimum

• Points of inflection

What is the first derivative test used to find?

Check all that apply

• Where the function increases/decreases

• Where the function is concave up/down

• Where the function has extrema

• Where the function has points of inflection

• the object is moving right

• the velocity is increasing

• the object is speeding up

• the acceleration is positive

Tags

CCSS.HSF.LE.B.5

• the object is slowing down

• the object is speeding up

• the object is moving backward

• the speed is negative

Which of the following describes when a function decreases?

Check all that apply

• When f ' (x) < 0

• When f " (x) < 0

• When the slope of the function is negative

• When f(x) < 0

Which of the following describes when a function is concave down?

Check all that apply

• When f " (x) < 0

• When f ' (x) < 0

• When the slope of f ' (x) < 0

• When slope of f(x) < 0