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Application of Differentiation

Authored by Nurul Azmi

Mathematics

12th Grade

CCSS covered

Used 67+ times

Application of Differentiation
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the stationary point for the curve

 y=x24y=x^2-4  

A minimum at ( 0, -4)

A maximum at (0, -4)

A minimum at (0,4)

A maximum at (0,4)

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 What is the stationary points for the curve

 y=x3+3x224xy=x^3+3x^2-24x  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)

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Extremum points are either

local maximum

fixed point

inflection point

local minimum

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Local maximum point is obtained when

f(x)f'\left(x\right) exchange from negative to positive

f(x)f''\left(x\right) exchange from positive to negative

f(x)f'\left(x\right) exchange from positive to negative

f(x)f''\left(x\right) exchange from negative to positive

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Local minimum point is obtained when

f(x)f'\left(x\right) exchange from negative to positive

f(x)f''\left(x\right) exchange from positive to negative

f(x)f'\left(x\right) exchange from positive to negative

f(x)f''\left(x\right) exchange from negative to positive

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

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.

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

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.

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