Chapter 16 - Applications of Differentiation

 If (a,b) is a local minimum, then what will be true about f'(a)?

• It's positive
• It's negative
• It's zero
• Cannot be determined

Given a function, f(x), if f'(x)<0 over a certain interval, then f(x) is ____________ over that interval.

• decreasing
• increasing
• concave up
• concave down

Tags

CCSS.HSF.IF.B.4

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

What is the stationary point for the curve y=x² - 4?

• A minimum at ( 0, -4)

• A maximum at (0, -4)

• A minimum at (0,4)

• A maximum at (0,4)

What is the stationary points for the curve f(x) = x³ +3x² - 24x and determine their nature.

• Maximum point : (2, -28) and minimum point : (-4, 80)

• Minimum point : (2, 28) and maximum point : (-4, 80)

• Minimum point : (2, -28) and maximum point : (4, 80)

• Minimum point : (2, -28) and maximum point : (-4, 80)

Which of the following is the best definition of REVENUE?

• The total amount of income a business makes from selling products or services
• The amount of money a business has LEFT over after paying for their costs.
• The total amount of money a business spends.
• The amount of money a business loses every month.

Which of the following is the best definition of PROFIT?

• The total amount of income a business makes from selling products or services
• The amount of money a business has left over after paying for their costs.
• The total amount of money a business spends.

Which of the following is the equation for figuring out PROFIT?

• Profit = Revenue - Cost
• Profit = Cost - Revenue
• Revenue = Profit - Cost
• Costs = Profit - Revenue

Tags

CCSS.HSA.CED.A.4

Concave downward is obtained when

• f '' is negative

• f ' is positive

• f ' is negative

• f '' is positive

Tags

CCSS.HSF-IF.C.7A

A spherical ball is being inflated at a rate of 20 $\frac{cm^3}{s}$  . Find the rate of increase of its radius when it's surface area is  $100\pi\ cm^2$  

•  $\frac{1}{6\pi}$   cm/s

•  $\frac{1}{4\pi}$   cm/s

•  $\frac{1}{5\pi}$  cm/s

•  $\frac{2}{5\pi}$   cm/s