MCV4U - Unit 4 (Extensions) Question
and answers verified to pass
2026/2027
How to determine if a critical number is maximum or minimum - correct answer ✔option A: use the
intervals of increase/decrease
option B: the second derivative
What are profit and marginal cost problems? - correct answer ✔revenue VS total cost VS profit VS
marginal cost
change in total cost of producing one more item: like if producing one more pair of boots warrants a
machine repair
marginal cost and cost - correct answer ✔marginal cost is the derivative of cost
(same for demand, revenue, and profit for marginal demand, marginal revenue, and marginal profit,
respectively)
Equations: trigonometric derivatives - correct answer ✔d/dx sin x = cos x
d/dx cos x = -sin x
d/dx tan x = sec^2 x (or 1/cos^2x)
NOTE that these only work for RADIANS!!
How many critical numbers should I find? - correct answer ✔As many as are necessary for what you're
doing
and answers verified to pass
2026/2027
How to determine if a critical number is maximum or minimum - correct answer ✔option A: use the
intervals of increase/decrease
option B: the second derivative
What are profit and marginal cost problems? - correct answer ✔revenue VS total cost VS profit VS
marginal cost
change in total cost of producing one more item: like if producing one more pair of boots warrants a
machine repair
marginal cost and cost - correct answer ✔marginal cost is the derivative of cost
(same for demand, revenue, and profit for marginal demand, marginal revenue, and marginal profit,
respectively)
Equations: trigonometric derivatives - correct answer ✔d/dx sin x = cos x
d/dx cos x = -sin x
d/dx tan x = sec^2 x (or 1/cos^2x)
NOTE that these only work for RADIANS!!
How many critical numbers should I find? - correct answer ✔As many as are necessary for what you're
doing
