Learn Maths Applications of Derivatives, Class 12 Maths Applications of Derivatives Exercise, Free Online Applications of Derivatives Lessons

Class 12 Maths Study Material

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Applications of Derivatives

The rate of change of demand with respect to price is called ____________ .

a) Derivative
b) Differentiation
c) Integration
d) Limits

✔Answer

Correct Answer Is : Differentiation

Solution Is :

If the function f(x) is ______________ at x = c, then f`( c ) > 0.

a) Increasing
b) Decreasing
c) Both 1 and 2
d) None

✔Answer

Correct Answer Is : Increasing

Solution Is :

If the function f(x) is ______________ at x = c, then f`( c ) < 0.

a) Increasing
b) Decreasing
c) Both 1 and 2
d) None

✔Answer

Correct Answer Is : Decreasing

Solution Is :

Demand function D = f (P) , marginal demand Dm = ___________ .

a) DD / dP
b) DS / dP
c) DC / dP
d) All of these

✔Answer

Correct Answer Is : DD / dP

Solution Is :

Total cost function D = f (P) , marginal cost Cm = ___________ .

a) DD / dP
b) DS / dP
c) DC / dP
d) All of these

✔Answer

Correct Answer Is : DC / dP

Solution Is :

Supply function S = g (P) , marginal supply Sm = ___________ .

a) DD / dP
b) DS / dP
c) DC / dP
d) All of these

✔Answer

Correct Answer Is : DS / dP

Solution Is :

True or false: the price of elasticity of demand is referred as "Elasticity of demand".

a) TRUE
b) FALSE
c) Maybe
d) None of these

✔Answer

Correct Answer Is : TRUE

Solution Is :

The price of elasticity of demand is denoted by ?

a) ∊
b) η
c) E
d) E(D)

✔Answer

Correct Answer Is : η

Solution Is :

The elasticity of demand is given by η =

a) ((-P/D).(dD/Dp))
b) ((P/D).(dD/Dp))
c) ((P/D)/(dD/Dp))
d) ((-P/D)/(dD/Dp))

✔Answer

Correct Answer Is : ((-P/D).(dD/Dp))

Solution Is :

If η = 0, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic

✔Answer

Correct Answer Is : Constant function of price

Solution Is :

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Class 12 Maths Study Material

Applications of Derivatives

The rate of change of demand with respect to price is called ____________ .

Correct Answer Is : Differentiation

Solution Is :

If the function f(x) is ______________ at x = c, then f`( c ) > 0.

Correct Answer Is : Increasing

Solution Is :

If the function f(x) is ______________ at x = c, then f`( c ) < 0.

Correct Answer Is : Decreasing

Solution Is :

Demand function D = f (P) , marginal demand Dm = ___________ .

Correct Answer Is : DD / dP

Solution Is :

Total cost function D = f (P) , marginal cost Cm = ___________ .

Correct Answer Is : DC / dP

Solution Is :

Supply function S = g (P) , marginal supply Sm = ___________ .

Correct Answer Is : DS / dP

Solution Is :

True or false: the price of elasticity of demand is referred as "Elasticity of demand".

Correct Answer Is : TRUE

Solution Is :

The price of elasticity of demand is denoted by ?

Correct Answer Is : η

Solution Is :

The elasticity of demand is given by η =

Correct Answer Is : ((-P/D).(dD/Dp))

Solution Is :

If η = 0, it means the demand D is ____________ .

Correct Answer Is : Constant function of price

Solution Is :

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